\documentclass[10pt]{article}
\begin{document}
\section{dict1}

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  1  &    &   & -1  x_{5} & -2  x_{7}\\
 x_{3}   &  3 & + 1  x_{2} & -1  x_{4} &   & -1  x_{7}\\
 x_{6}   &  0 & -1  x_{2} &   & -2  x_{5} &   \\
\hline
z    &  1 & -1  x_{2} & + 2  x_{4} & + 3  x_{5} & + 1  x_{7}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  1  &    &   & -1  x_{5} & -2  x_{7}\\
 x_{4}   &  3 & + 1  x_{2} & -1  x_{3} &   & -1  x_{7}\\
 x_{6}   &  0 & -1  x_{2} &   & -2  x_{5} &   \\
\hline
z    &  7 & + 1  x_{2} & -2  x_{3} & + 3  x_{5} & -1  x_{7}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  1  &    &   & -1  x_{5} & -2  x_{7}\\
 x_{4}   &  3 & -1  x_{6} & -1  x_{3} & -2  x_{5} & -1  x_{7}\\
 x_{2}   &  0 & -1  x_{6} &   & -2  x_{5} &   \\
\hline
z    &  7 & -1  x_{6} & -2  x_{3} & + 1  x_{5} & -1  x_{7}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  1 & + 0.5 x_{6} &   & + 0.5 x_{2} & -2  x_{7}\\
 x_{4}   &  3  &   & -1  x_{3} & + 1  x_{2} & -1  x_{7}\\
 x_{5}   &  0 & -0.5 x_{6} &   & -0.5 x_{2} &   \\
\hline
z    &  7 & -1.5 x_{6} & -2  x_{3} & -0.5 x_{2} & -1  x_{7}\\
\end{array}\]


 Final Dictionary
\par \noindent\textbf{Solution:} :  7.0
\#Pivots:  3
\section{dict2}

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{3}   &  1  &   & -1  x_{2}\\
 x_{4}   &  2 & -1  x_{1} & + 2  x_{2}\\
 x_{5}   &  1 & -2  x_{1} &   \\
\hline
z    &  1  &   & + 3  x_{2}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  1  &   & -1  x_{3}\\
 x_{4}   &  4 & -1  x_{1} & -2  x_{3}\\
 x_{5}   &  1 & -2  x_{1} &   \\
\hline
z    &  4  &   & -3  x_{3}\\
\end{array}\]


 Final Dictionary
\par \noindent\textbf{Solution:} :  4.0
\#Pivots:  1
\section{dict3}

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1 & + 1  x_{1} & -1  x_{2} &   \\
 x_{5}   &  2 & -1  x_{1} &   & -1  x_{3}\\
 x_{6}   &  1 & -1  x_{1} & -1  x_{2} & -1  x_{3}\\
\hline
z    &  1 & + 1  x_{1} & + 1  x_{2} & + 2  x_{3}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2 & -1  x_{6} & -2  x_{2} & -1  x_{3}\\
 x_{5}   &  1 & + 1  x_{6} & + 1  x_{2} &   \\
 x_{1}   &  1 & -1  x_{6} & -1  x_{2} & -1  x_{3}\\
\hline
z    &  2 & -1  x_{6} &   & + 1  x_{3}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1  &   & -1  x_{2} & + 1  x_{1}\\
 x_{5}   &  1 & + 1  x_{6} & + 1  x_{2} &   \\
 x_{3}   &  1 & -1  x_{6} & -1  x_{2} & -1  x_{1}\\
\hline
z    &  3 & -2  x_{6} & -1  x_{2} & -1  x_{1}\\
\end{array}\]


 Final Dictionary
\par \noindent\textbf{Solution:} :  3.0
\#Pivots:  2
\section{dict4}

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{3}   &  2 & + 3  x_{1} & -1  x_{2}\\
 x_{4}   &  11  &   & -1  x_{2}\\
 x_{5}   &  3 & -1  x_{1} & + 1  x_{2}\\
 x_{6}   &  6 & -1  x_{1} &   \\
\hline
z    &  0 & + 1  x_{1} & + 2  x_{2}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{3}   &  11 & -3  x_{5} & + 2  x_{2}\\
 x_{4}   &  11  &   & -1  x_{2}\\
 x_{1}   &  3 & -1  x_{5} & + 1  x_{2}\\
 x_{6}   &  3 & + 1  x_{5} & -1  x_{2}\\
\hline
z    &  3 & -1  x_{5} & + 3  x_{2}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{3}   &  17 & -1  x_{5} & -2  x_{6}\\
 x_{4}   &  8 & -1  x_{5} & + 1  x_{6}\\
 x_{1}   &  6  &   & -1  x_{6}\\
 x_{2}   &  3 & + 1  x_{5} & -1  x_{6}\\
\hline
z    &  12 & + 2  x_{5} & -3  x_{6}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{3}   &  9 & + 1  x_{4} & -3  x_{6}\\
 x_{5}   &  8 & -1  x_{4} & + 1  x_{6}\\
 x_{1}   &  6  &   & -1  x_{6}\\
 x_{2}   &  11 & -1  x_{4} &   \\
\hline
z    &  28 & -2  x_{4} & -1  x_{6}\\
\end{array}\]


 Final Dictionary
\par \noindent\textbf{Solution:} :  28.0
\#Pivots:  3
\section{dict5}

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  6 & -1  x_{4} & -3  x_{3} & + 2  x_{1} &   \\
 x_{2}   &  12  &   & -6  x_{3} & -1  x_{1} & -1  x_{5}\\
\hline
z    &  0 & + 2  x_{4} & + 1  x_{3} & -3  x_{1} & + 4  x_{5}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0 & -1  x_{4} & + 0.5 x_{2} & + 2.5 x_{1} & + 0.5 x_{5}\\
 x_{3}   &  2  &   & -0.166667 x_{2} & -0.166667 x_{1} & -0.166667 x_{5}\\
\hline
z    &  2 & + 2  x_{4} & -0.166667 x_{2} & -3.166667 x_{1} & + 3.833333 x_{5}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0 & -1  x_{6} & + 0.5 x_{2} & + 2.5 x_{1} & + 0.5 x_{5}\\
 x_{3}   &  2  &   & -0.166667 x_{2} & -0.166667 x_{1} & -0.166667 x_{5}\\
\hline
z    &  2 & -2  x_{6} & + 0.833333 x_{2} & + 1.833333 x_{1} & + 4.833333 x_{5}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  30 & -1  x_{6} & -2  x_{2} & -15  x_{3} & -2  x_{5}\\
 x_{1}   &  12  &   & -1  x_{2} & -6  x_{3} & -1  x_{5}\\
\hline
z    &  24 & -2  x_{6} & -1  x_{2} & -11  x_{3} & + 3  x_{5}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  6 & -1  x_{6} &   & -3  x_{3} & + 2  x_{1}\\
 x_{5}   &  12  &   & -1  x_{2} & -6  x_{3} & -1  x_{1}\\
\hline
z    &  60 & -2  x_{6} & -4  x_{2} & -29  x_{3} & -3  x_{1}\\
\end{array}\]


 Final Dictionary
\par \noindent\textbf{Solution:} :  60.0
\#Pivots:  4
\section{dict6}

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1 & + 1  x_{1} & -1  x_{2} &   \\
 x_{5}   &  2  &    &   & -1  x_{3}\\
 x_{6}   &  1  &   & -1  x_{2} & -1  x_{3}\\
\hline
z    &  1 & + 1  x_{1} & + 1  x_{2} & + 2  x_{3}\\
\end{array}\]


 $ x_{1} $ enters and Unbounded Dictionary!
\section{dict7}

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  2 & -1  x_{5} &   \\
 x_{6}   &  2  &   & -1  x_{3}\\
 x_{2}   &  2 & -2  x_{5} & -2  x_{3}\\
 x_{1}   &  4 & + 1  x_{5} & + 1  x_{3}\\
\hline
z    &  0 & + 6  x_{5} & -5  x_{3}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1 & + 0.5 x_{2} & + 1  x_{3}\\
 x_{6}   &  2  &   & -1  x_{3}\\
 x_{5}   &  1 & -0.5 x_{2} & -1  x_{3}\\
 x_{1}   &  5 & -0.5 x_{2} &   \\
\hline
z    &  6 & -3  x_{2} & -11  x_{3}\\
\end{array}\]


 Final Dictionary
\par \noindent\textbf{Solution:} :  6.0
\#Pivots:  1
\section{dict8}

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  8.4 & + 0.7 x_{1} & -1.4 x_{2} & -5.9 x_{3} & -5.4 x_{4}\\
 x_{6}   &  4.4 & -7.1 x_{1} & -3.2 x_{2} & + 7.5 x_{3} & + 2.8 x_{4}\\
 x_{7}   &  4.1 & + 7.4 x_{1} & + 1.2 x_{2} & + 6.3 x_{3} & + 3.3 x_{4}\\
 x_{8}   &  2.4 & -0.3 x_{1} & -7.8 x_{2} & -0.9 x_{3} & -1.1 x_{4}\\
 x_{9}   &  9.7 & -5.6 x_{1} & -3.2 x_{2} & -3.2 x_{3} & + 3.9 x_{4}\\
\hline
z    &  0 & -0.9 x_{1} & + 4.9 x_{2} & -3.6 x_{3} & + 4.1 x_{4}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  7.96923076923 & + 0.753846 x_{1} & + 0.179487 x_{8} & -5.738462 x_{3} & -5.202564 x_{4}\\
 x_{6}   &  3.41538461538 & -6.976923 x_{1} & + 0.410256 x_{8} & + 7.869231 x_{3} & + 3.251282 x_{4}\\
 x_{7}   &  4.46923076923 & + 7.353846 x_{1} & -0.153846 x_{8} & + 6.161538 x_{3} & + 3.130769 x_{4}\\
 x_{2}   &  0.307692307692 & -0.038462 x_{1} & -0.128205 x_{8} & -0.115385 x_{3} & -0.141026 x_{4}\\
 x_{9}   &  8.71538461538 & -5.476923 x_{1} & + 0.410256 x_{8} & -2.830769 x_{3} & + 4.351282 x_{4}\\
\hline
z    &  1.50769230769 & -1.088462 x_{1} & -0.628205 x_{8} & -4.165385 x_{3} & + 3.408974 x_{4}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  1.53178905865 & + 0.144899 x_{1} & + 0.0345 x_{8} & -1.103006 x_{3} & -0.192213 x_{5}\\
 x_{6}   &  8.39566288812 & -6.505816 x_{1} & + 0.522425 x_{8} & + 4.283046 x_{3} & -0.624938 x_{5}\\
 x_{7}   &  9.26490882208 & + 7.807491 x_{1} & -0.045835 x_{8} & + 2.70828 x_{3} & -0.601774 x_{5}\\
 x_{2}   &  0.0916707737802 & -0.058896 x_{1} & -0.13307 x_{8} & + 0.040168 x_{3} & + 0.027107 x_{5}\\
 x_{9}   &  15.3806308526 & -4.846427 x_{1} & + 0.560375 x_{8} & -7.630261 x_{3} & -0.836373 x_{5}\\
\hline
z    &  6.72952193199 & -0.594505 x_{1} & -0.510596 x_{8} & -7.925505 x_{3} & -0.655249 x_{5}\\
\end{array}\]


 Final Dictionary
\par \noindent\textbf{Solution:} :  6.72952193199
\#Pivots:  2
\section{dict9}

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  3.3 & + 3.4 x_{1} & -5.6 x_{2} & -5.3 x_{3} & -7.6 x_{4}\\
 x_{6}   &  9.8 & + 6.8 x_{1} & + 0.6 x_{2} & -3.4 x_{3} & + 2.9 x_{4}\\
 x_{7}   &  4.5 & + 8  x_{1} & + 1.5 x_{2} & -3.9 x_{3} & + 4.3 x_{4}\\
 x_{8}   &  8.8 & + 7.6 x_{1} & + 3.3 x_{2} & -2.5 x_{3} & -7.5 x_{4}\\
 x_{9}   &  0.2 & -3.9 x_{1} & -3.3 x_{2} & -4.4 x_{3} & -4.2 x_{4}\\
\hline
z    &  0 & + 2.8 x_{1} & + 4.5 x_{2} & + 3.1 x_{3} & + 2.6 x_{4}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{9} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  3.47435897436 & -0.871795 x_{9} & -8.476923 x_{2} & -9.135897 x_{3} & -11.261538 x_{4}\\
 x_{6}   &  10.1487179487 & -1.74359 x_{9} & -5.153846 x_{2} & -11.071795 x_{3} & -4.423077 x_{4}\\
 x_{7}   &  4.91025641026 & -2.051282 x_{9} & -5.269231 x_{2} & -12.925641 x_{3} & -4.315385 x_{4}\\
 x_{8}   &  9.18974358974 & -1.948718 x_{9} & -3.130769 x_{2} & -11.074359 x_{3} & -15.684615 x_{4}\\
 x_{1}   &  0.0512820512821 & -0.25641 x_{9} & -0.846154 x_{2} & -1.128205 x_{3} & -1.076923 x_{4}\\
\hline
z    &  0.14358974359 & -0.717949 x_{9} & + 2.130769 x_{2} & -0.058974 x_{3} & -0.415385 x_{4}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  2.96060606061 & + 1.69697 x_{9} & + 10.018182 x_{1} & + 2.166667 x_{3} & -0.472727 x_{4}\\
 x_{6}   &  9.83636363636 & -0.181818 x_{9} & + 6.090909 x_{1} & -4.2 x_{3} & + 2.136364 x_{4}\\
 x_{7}   &  4.59090909091 & -0.454545 x_{9} & + 6.227273 x_{1} & -5.9 x_{3} & + 2.390909 x_{4}\\
 x_{8}   &  9 & -1  x_{9} & + 3.7 x_{1} & -6.9 x_{3} & -11.7 x_{4}\\
 x_{2}   &  0.0606060606061 & -0.30303 x_{9} & -1.181818 x_{1} & -1.333333 x_{3} & -1.272727 x_{4}\\
\hline
z    &  0.272727272727 & -1.363636 x_{9} & -2.518182 x_{1} & -2.9 x_{3} & -3.127273 x_{4}\\
\end{array}\]


 Final Dictionary
\par \noindent\textbf{Solution:} :  0.272727272727
\#Pivots:  2
\section{dict10}

\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{13}   &  0.2 & + 0.3 x_{1} & -7  x_{2} & + 7.6 x_{3} & + 4.1 x_{4} & -0.5 x_{5} & + 3.4 x_{6} & + 1.3 x_{7} & + 5.2 x_{8} & + 1.5 x_{9} & -7.9 x_{10} & -2.7 x_{11} & + 2.4 x_{12}\\
 x_{14}   &  0.7 & -4.9 x_{1} & -5.5 x_{2} & + 0.6 x_{3} & + 1.8 x_{4} & -8  x_{5} & + 2.9 x_{6} & -5.8 x_{7} & -2.3 x_{8} & + 1.2 x_{9} & + 0.6 x_{10} & -7.8 x_{11} & + 6.8 x_{12}\\
 x_{15}   &  6.3 & -2.3 x_{1} & + 6.8 x_{2} & + 7.6 x_{3} & -6.1 x_{4} & -3.1 x_{5} & -1.2 x_{6} & -1.7 x_{7} & -6.9 x_{8} & + 1.5 x_{9} & -6.7 x_{10} & + 7.2 x_{11} & -0.9 x_{12}\\
 x_{16}   &  8.3 & -7.1 x_{1} & + 1  x_{2} & -3.6 x_{3} & + 0.7 x_{4} & + 3.7 x_{5} & + 2.9 x_{6} & -6.5 x_{7} & + 6.6 x_{8} & -2.9 x_{9} & + 4.7 x_{10} & -2  x_{11} & -2.3 x_{12}\\
 x_{17}   &  5.6 & + 5.7 x_{1} & + 6.9 x_{2} & -2.8 x_{3} & + 5.1 x_{4} & + 4.2 x_{5} & + 4.3 x_{6} & -7.4 x_{7} & -2.1 x_{8} & + 7  x_{9} & + 6.9 x_{10} & + 5.4 x_{11} & -5  x_{12}\\
 x_{18}   &  7.9 & + 0.5 x_{1} & -7.5 x_{2} & + 5.3 x_{3} & + 4.4 x_{4} & -0.9 x_{5} & -1  x_{6} & + 0.7 x_{7} & + 3.1 x_{8} & + 4.6 x_{9} & + 2.8 x_{10} & + 6  x_{11} & + 3  x_{12}\\
 x_{19}   &  6.1 & + 4.4 x_{1} & + 2.1 x_{2} & -4.6 x_{3} & + 7.7 x_{4} & -5  x_{5} & + 2.7 x_{6} & + 1.9 x_{7} & -4.1 x_{8} & -0.6 x_{9} & -1.8 x_{10} & -3.6 x_{11} & -3.7 x_{12}\\
 x_{20}   &  1.3 & -5.9 x_{1} & -4.7 x_{2} & + 0.9 x_{3} & -3.1 x_{4} & + 1.3 x_{5} & -5.6 x_{6} & -3.6 x_{7} & -5.4 x_{8} & -6.9 x_{9} & + 4.8 x_{10} & -3.8 x_{11} & + 5.6 x_{12}\\
 x_{21}   &  3.9 & -4.4 x_{1} & + 4.3 x_{2} & + 1.1 x_{3} & + 3.6 x_{4} & -4  x_{5} & -5  x_{6} & + 1.2 x_{7} & + 7  x_{8} & + 2.4 x_{9} & -7.6 x_{10} & -1.1 x_{11} & -4.3 x_{12}\\
 x_{22}   &  2.6 & + 7.4 x_{1} & -6.3 x_{2} & + 7.8 x_{3} & -3.8 x_{4} & -6.8 x_{5} & + 4  x_{6} & -7.8 x_{7} & -4  x_{8} & + 4  x_{9} &   & -1.8 x_{11} & + 6  x_{12}\\
 x_{23}   &  8.2 & + 7.9 x_{1} & + 1  x_{2} & -1.7 x_{3} & + 6.5 x_{4} & + 7.6 x_{5} & -2.9 x_{6} & -6.4 x_{7} & + 4.5 x_{8} & -5.6 x_{9} & -1  x_{10} & -1.4 x_{11} & -7.5 x_{12}\\
 x_{24}   &  9 & -6.9 x_{1} & -5.2 x_{2} & -7.7 x_{3} & + 0.6 x_{4} & + 1.6 x_{5} & + 1  x_{6} & + 3.1 x_{7} & + 7.9 x_{8} & -0.6 x_{9} & + 5.5 x_{10} & -4.9 x_{11} & -6.5 x_{12}\\
 x_{25}   &  0.1 & -5.9 x_{1} & + 2.9 x_{2} & + 6.6 x_{3} & + 0.5 x_{4} & + 2.1 x_{5} & -0.6 x_{6} & + 3.3 x_{7} & -0.9 x_{8} & + 6.3 x_{9} & -6.2 x_{10} & + 0.5 x_{11} & -0.3 x_{12}\\
 x_{26}   &  6.8 & -3.7 x_{1} & + 2  x_{2} & + 6.5 x_{3} & -2.6 x_{4} & + 4.9 x_{5} &   & -7.2 x_{7} & -5.1 x_{8} & -6.2 x_{9} & + 4.2 x_{10} & -1.8 x_{11} & -2.6 x_{12}\\
 x_{27}   &  7.6 & -4.2 x_{1} & + 1.7 x_{2} & + 4.2 x_{3} & + 6.3 x_{4} & + 0.9 x_{5} & + 2.7 x_{6} & + 0.9 x_{7} & + 0.1 x_{8} & + 0.3 x_{9} & -3  x_{10} & + 0.3 x_{11} & -6.4 x_{12}\\
 x_{28}   &  9.8 & -0.7 x_{1} & -6.5 x_{2} & + 4.7 x_{3} & -1.5 x_{4} & -0.8 x_{5} & + 1.8 x_{6} & -7.7 x_{7} & -4.8 x_{8} & + 2.8 x_{9} & -7.1 x_{10} & + 1.2 x_{11} & -3.4 x_{12}\\
 x_{29}   &  3 & + 8  x_{1} & -1.5 x_{2} & -7.6 x_{3} & + 4.1 x_{4} & -5.9 x_{5} & + 4.1 x_{6} & + 4.7 x_{7} & -0.7 x_{8} & -7.3 x_{9} & + 1.9 x_{10} & + 4.8 x_{11} & -0.5 x_{12}\\
 x_{30}   &  9.6 & -0.9 x_{1} & -0.7 x_{2} & -7.3 x_{3} & -1.3 x_{4} & + 7.7 x_{5} &   & -1.7 x_{7} & + 7.2 x_{8} & + 1.6 x_{9} & -7  x_{10} & + 1.5 x_{11} & + 5.6 x_{12}\\
 x_{31}   &  9.7 & -7.3 x_{1} & -7.3 x_{2} & + 4.9 x_{3} & + 6.9 x_{4} & + 7.7 x_{5} & -6.3 x_{6} & + 6.2 x_{7} & -6.1 x_{8} & -6.9 x_{9} & -6.8 x_{10} & + 5.2 x_{11} & + 5.9 x_{12}\\
\hline
z    &  0 & -2.3 x_{1} & + 2.9 x_{2} & + 2.3 x_{3} & + 4.6 x_{4} & -2.7 x_{5} & -1.8 x_{6} & + 0.9 x_{7} & + 3.4 x_{8} & -1.6 x_{9} & -4.1 x_{10} & + 2.9 x_{11} & -4.1 x_{12}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.0285714285714 & + 0.042857 x_{1} & -0.142857 x_{13} & + 1.085714 x_{3} & + 0.585714 x_{4} & -0.071429 x_{5} & + 0.485714 x_{6} & + 0.185714 x_{7} & + 0.742857 x_{8} & + 0.214286 x_{9} & -1.128571 x_{10} & -0.385714 x_{11} & + 0.342857 x_{12}\\
 x_{14}   &  0.542857142857 & -5.135714 x_{1} & + 0.785714 x_{13} & -5.371429 x_{3} & -1.421429 x_{4} & -7.607143 x_{5} & + 0.228571 x_{6} & -6.821429 x_{7} & -6.385714 x_{8} & + 0.021429 x_{9} & + 6.807143 x_{10} & -5.678571 x_{11} & + 4.914286 x_{12}\\
 x_{15}   &  6.49428571429 & -2.008571 x_{1} & -0.971429 x_{13} & + 14.982857 x_{3} & -2.117143 x_{4} & -3.585714 x_{5} & + 2.102857 x_{6} & -0.437143 x_{7} & -1.848571 x_{8} & + 2.957143 x_{9} & -14.374286 x_{10} & + 4.577143 x_{11} & + 1.431429 x_{12}\\
 x_{16}   &  8.32857142857 & -7.057143 x_{1} & -0.142857 x_{13} & -2.514286 x_{3} & + 1.285714 x_{4} & + 3.628571 x_{5} & + 3.385714 x_{6} & -6.314286 x_{7} & + 7.342857 x_{8} & -2.685714 x_{9} & + 3.571429 x_{10} & -2.385714 x_{11} & -1.957143 x_{12}\\
 x_{17}   &  5.79714285714 & + 5.995714 x_{1} & -0.985714 x_{13} & + 4.691429 x_{3} & + 9.141429 x_{4} & + 3.707143 x_{5} & + 7.651429 x_{6} & -6.118571 x_{7} & + 3.025714 x_{8} & + 8.478571 x_{9} & -0.887143 x_{10} & + 2.738571 x_{11} & -2.634286 x_{12}\\
 x_{18}   &  7.68571428571 & + 0.178571 x_{1} & + 1.071429 x_{13} & -2.842857 x_{3} & + 0.007143 x_{4} & -0.364286 x_{5} & -4.642857 x_{6} & -0.692857 x_{7} & -2.471429 x_{8} & + 2.992857 x_{9} & + 11.264286 x_{10} & + 8.892857 x_{11} & + 0.428571 x_{12}\\
 x_{19}   &  6.16 & + 4.49 x_{1} & -0.3 x_{13} & -2.32 x_{3} & + 8.93 x_{4} & -5.15 x_{5} & + 3.72 x_{6} & + 2.29 x_{7} & -2.54 x_{8} & -0.15 x_{9} & -4.17 x_{10} & -4.41 x_{11} & -2.98 x_{12}\\
 x_{20}   &  1.16571428571 & -6.101429 x_{1} & + 0.671429 x_{13} & -4.202857 x_{3} & -5.852857 x_{4} & + 1.635714 x_{5} & -7.882857 x_{6} & -4.472857 x_{7} & -8.891429 x_{8} & -7.907143 x_{9} & + 10.104286 x_{10} & -1.987143 x_{11} & + 3.988571 x_{12}\\
 x_{21}   &  4.02285714286 & -4.215714 x_{1} & -0.614286 x_{13} & + 5.768571 x_{3} & + 6.118571 x_{4} & -4.307143 x_{5} & -2.911429 x_{6} & + 1.998571 x_{7} & + 10.194286 x_{8} & + 3.321429 x_{9} & -12.452857 x_{10} & -2.758571 x_{11} & -2.825714 x_{12}\\
 x_{22}   &  2.42 & + 7.13 x_{1} & + 0.9 x_{13} & + 0.96 x_{3} & -7.49 x_{4} & -6.35 x_{5} & + 0.94 x_{6} & -8.97 x_{7} & -8.68 x_{8} & + 2.65 x_{9} & + 7.11 x_{10} & + 0.63 x_{11} & + 3.84 x_{12}\\
 x_{23}   &  8.22857142857 & + 7.942857 x_{1} & -0.142857 x_{13} & -0.614286 x_{3} & + 7.085714 x_{4} & + 7.528571 x_{5} & -2.414286 x_{6} & -6.214286 x_{7} & + 5.242857 x_{8} & -5.385714 x_{9} & -2.128571 x_{10} & -1.785714 x_{11} & -7.157143 x_{12}\\
 x_{24}   &  8.85142857143 & -7.122857 x_{1} & + 0.742857 x_{13} & -13.345714 x_{3} & -2.445714 x_{4} & + 1.971429 x_{5} & -1.525714 x_{6} & + 2.134286 x_{7} & + 4.037143 x_{8} & -1.714286 x_{9} & + 11.368571 x_{10} & -2.894286 x_{11} & -8.282857 x_{12}\\
 x_{25}   &  0.182857142857 & -5.775714 x_{1} & -0.414286 x_{13} & + 9.748571 x_{3} & + 2.198571 x_{4} & + 1.892857 x_{5} & + 0.808571 x_{6} & + 3.838571 x_{7} & + 1.254286 x_{8} & + 6.921429 x_{9} & -9.472857 x_{10} & -0.618571 x_{11} & + 0.694286 x_{12}\\
 x_{26}   &  6.85714285714 & -3.614286 x_{1} & -0.285714 x_{13} & + 8.671429 x_{3} & -1.428571 x_{4} & + 4.757143 x_{5} & + 0.971429 x_{6} & -6.828571 x_{7} & -3.614286 x_{8} & -5.771429 x_{9} & + 1.942857 x_{10} & -2.571429 x_{11} & -1.914286 x_{12}\\
 x_{27}   &  7.64857142857 & -4.127143 x_{1} & -0.242857 x_{13} & + 6.045714 x_{3} & + 7.295714 x_{4} & + 0.778571 x_{5} & + 3.525714 x_{6} & + 1.215714 x_{7} & + 1.362857 x_{8} & + 0.664286 x_{9} & -4.918571 x_{10} & -0.355714 x_{11} & -5.817143 x_{12}\\
 x_{28}   &  9.61428571429 & -0.978571 x_{1} & + 0.928571 x_{13} & -2.357143 x_{3} & -5.307143 x_{4} & -0.335714 x_{5} & -1.357143 x_{6} & -8.907143 x_{7} & -9.628571 x_{8} & + 1.407143 x_{9} & + 0.235714 x_{10} & + 3.707143 x_{11} & -5.628571 x_{12}\\
 x_{29}   &  2.95714285714 & + 7.935714 x_{1} & + 0.214286 x_{13} & -9.228571 x_{3} & + 3.221429 x_{4} & -5.792857 x_{5} & + 3.371429 x_{6} & + 4.421429 x_{7} & -1.814286 x_{8} & -7.621429 x_{9} & + 3.592857 x_{10} & + 5.378571 x_{11} & -1.014286 x_{12}\\
 x_{30}   &  9.58 & -0.93 x_{1} & + 0.1 x_{13} & -8.06 x_{3} & -1.71 x_{4} & + 7.75 x_{5} & -0.34 x_{6} & -1.83 x_{7} & + 6.68 x_{8} & + 1.45 x_{9} & -6.21 x_{10} & + 1.77 x_{11} & + 5.36 x_{12}\\
 x_{31}   &  9.49142857143 & -7.612857 x_{1} & + 1.042857 x_{13} & -3.025714 x_{3} & + 2.624286 x_{4} & + 8.221429 x_{5} & -9.845714 x_{6} & + 4.844286 x_{7} & -11.522857 x_{8} & -8.464286 x_{9} & + 1.438571 x_{10} & + 8.015714 x_{11} & + 3.397143 x_{12}\\
\hline
z    &  0.0828571428571 & -2.175714 x_{1} & -0.414286 x_{13} & + 5.448571 x_{3} & + 6.298571 x_{4} & -2.907143 x_{5} & -0.391429 x_{6} & + 1.438571 x_{7} & + 5.554286 x_{8} & -0.978571 x_{9} & -7.372857 x_{10} & + 1.781429 x_{11} & -3.105714 x_{12}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.13829787234 & -0.995213 x_{1} & + 0.015957 x_{13} & -0.202128 x_{14} & + 0.298404 x_{4} & -1.609043 x_{5} & + 0.531915 x_{6} & -1.193085 x_{7} & -0.547872 x_{8} & + 0.218617 x_{9} & + 0.24734 x_{10} & -1.533511 x_{11} & + 1.33617 x_{12}\\
 x_{3}   &  0.101063829787 & -0.956117 x_{1} & + 0.146277 x_{13} & -0.18617 x_{14} & -0.264628 x_{4} & -1.416223 x_{5} & + 0.042553 x_{6} & -1.269947 x_{7} & -1.18883 x_{8} & + 0.003989 x_{9} & + 1.267287 x_{10} & -1.057181 x_{11} & + 0.914894 x_{12}\\
 x_{15}   &  8.0085106383 & -16.333936 x_{1} & + 1.220213 x_{13} & -2.789362 x_{14} & -6.082021 x_{4} & -24.804787 x_{5} & + 2.740426 x_{6} & -19.464574 x_{7} & -19.660638 x_{8} & + 3.016915 x_{9} & + 4.613298 x_{10} & -11.262447 x_{11} & + 15.139149 x_{12}\\
 x_{16}   &  8.07446808511 & -4.653191 x_{1} & -0.510638 x_{13} & + 0.468085 x_{14} & + 1.951064 x_{4} & + 7.189362 x_{5} & + 3.278723 x_{6} & -3.121277 x_{7} & + 10.331915 x_{8} & -2.695745 x_{9} & + 0.385106 x_{10} & + 0.27234 x_{11} & -4.257447 x_{12}\\
 x_{17}   &  6.27127659574 & + 1.51016 x_{1} & -0.299468 x_{13} & -0.873404 x_{14} & + 7.899947 x_{4} & -2.936968 x_{5} & + 7.851064 x_{6} & -12.076436 x_{7} & -2.551596 x_{8} & + 8.497287 x_{9} & + 5.058245 x_{10} & -2.221117 x_{11} & + 1.657872 x_{12}\\
 x_{18}   &  7.39840425532 & + 2.896676 x_{1} & + 0.655585 x_{13} & + 0.529255 x_{14} & + 0.759441 x_{4} & + 3.661835 x_{5} & -4.76383 x_{6} & + 2.91742 x_{7} & + 0.908245 x_{8} & + 2.981516 x_{9} & + 7.661569 x_{10} & + 11.898271 x_{11} & -2.17234 x_{12}\\
 x_{19}   &  5.92553191489 & + 6.708191 x_{1} & -0.639362 x_{13} & + 0.431915 x_{14} & + 9.543936 x_{4} & -1.864362 x_{5} & + 3.621277 x_{6} & + 5.236277 x_{7} & + 0.218085 x_{8} & -0.159255 x_{9} & -7.110106 x_{10} & -1.95734 x_{11} & -5.102553 x_{12}\\
 x_{20}   &  0.740957446809 & -2.083005 x_{1} & + 0.056649 x_{13} & + 0.782447 x_{14} & -4.740665 x_{4} & + 7.587899 x_{5} & -8.061702 x_{6} & + 0.864548 x_{7} & -3.894947 x_{8} & -7.92391 x_{9} & + 4.778059 x_{10} & + 2.456037 x_{11} & + 0.143404 x_{12}\\
 x_{21}   &  4.60585106383 & -9.731144 x_{1} & + 0.229521 x_{13} & -1.073936 x_{14} & + 4.592048 x_{4} & -12.476729 x_{5} & -2.665957 x_{6} & -5.327207 x_{7} & + 3.336436 x_{8} & + 3.344441 x_{9} & -5.14242 x_{10} & -8.856995 x_{11} & + 2.451915 x_{12}\\
 x_{22}   &  2.5170212766 & + 6.212128 x_{1} & + 1.040426 x_{13} & -0.178723 x_{14} & -7.744043 x_{4} & -7.709574 x_{5} & + 0.980851 x_{6} & -10.189149 x_{7} & -9.821277 x_{8} & + 2.65383 x_{9} & + 8.326596 x_{10} & -0.384894 x_{11} & + 4.718298 x_{12}\\
 x_{23}   &  8.1664893617 & + 8.530186 x_{1} & -0.232713 x_{13} & + 0.114362 x_{14} & + 7.248271 x_{4} & + 8.398537 x_{5} & -2.440426 x_{6} & -5.434176 x_{7} & + 5.973138 x_{8} & -5.388165 x_{9} & -2.907048 x_{10} & -1.136303 x_{11} & -7.719149 x_{12}\\
 x_{24}   &  7.50265957447 & + 5.637207 x_{1} & -1.209309 x_{13} & + 2.484574 x_{14} & + 1.085931 x_{4} & + 20.871941 x_{5} & -2.093617 x_{6} & + 19.082633 x_{7} & + 19.902926 x_{8} & -1.767527 x_{9} & -5.544282 x_{10} & + 11.214548 x_{11} & -20.492766 x_{12}\\
 x_{25}   &  1.16808510638 & -15.096489 x_{1} & + 1.011702 x_{13} & -1.814894 x_{14} & -0.38117 x_{4} & -11.913298 x_{5} & + 1.223404 x_{6} & -8.541596 x_{7} & -10.335106 x_{8} & + 6.960319 x_{9} & + 2.881383 x_{10} & -10.924574 x_{11} & + 9.613191 x_{12}\\
 x_{26}   &  7.7335106383 & -11.905186 x_{1} & + 0.982713 x_{13} & -1.614362 x_{14} & -3.723271 x_{4} & -7.523537 x_{5} & + 1.340426 x_{6} & -17.840824 x_{7} & -13.923138 x_{8} & -5.736835 x_{9} & + 12.932048 x_{10} & -11.738697 x_{11} & + 6.019149 x_{12}\\
 x_{27}   &  8.25957446809 & -9.907553 x_{1} & + 0.641489 x_{13} & -1.125532 x_{14} & + 5.695851 x_{4} & -7.783511 x_{5} & + 3.782979 x_{6} & -6.462021 x_{7} & -5.824468 x_{8} & + 0.688404 x_{9} & + 2.743085 x_{10} & -6.747128 x_{11} & -0.285957 x_{12}\\
 x_{28}   &  9.37606382979 & + 1.275133 x_{1} & + 0.583777 x_{13} & + 0.43883 x_{14} & -4.683378 x_{4} & + 3.002527 x_{5} & -1.457447 x_{6} & -5.913697 x_{7} & -6.82633 x_{8} & + 1.397739 x_{9} & -2.751463 x_{10} & + 6.199069 x_{11} & -7.785106 x_{12}\\
 x_{29}   &  2.02446808511 & + 16.759309 x_{1} & -1.135638 x_{13} & + 1.718085 x_{14} & + 5.663564 x_{4} & + 7.276862 x_{5} & + 2.978723 x_{6} & + 16.141223 x_{7} & + 9.156915 x_{8} & -7.658245 x_{9} & -8.102394 x_{10} & + 15.13484 x_{11} & -9.457447 x_{12}\\
 x_{30}   &  8.76542553191 & + 6.776303 x_{1} & -1.078989 x_{13} & + 1.500532 x_{14} & + 0.422899 x_{4} & + 19.164761 x_{5} & -0.682979 x_{6} & + 8.405771 x_{7} & + 16.261968 x_{8} & + 1.417846 x_{9} & -16.424335 x_{10} & + 10.290878 x_{11} & -2.014043 x_{12}\\
 x_{31}   &  9.18563829787 & -4.71992 x_{1} & + 0.600266 x_{13} & + 0.563298 x_{14} & + 3.424973 x_{4} & + 12.506516 x_{5} & -9.974468 x_{6} & + 8.686782 x_{7} & -7.925798 x_{8} & -8.476356 x_{9} & -2.395878 x_{10} & + 11.214441 x_{11} & + 0.628936 x_{12}\\
\hline
z    &  0.633510638298 & -7.385186 x_{1} & + 0.382713 x_{13} & -1.014362 x_{14} & + 4.856729 x_{4} & -10.623537 x_{5} & -0.159574 x_{6} & -5.480824 x_{7} & -0.923138 x_{8} & -0.956835 x_{9} & -0.467952 x_{10} & -3.978697 x_{11} & + 1.879149 x_{12}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.184937923915 & -1.126329 x_{1} & + 0.019523 x_{13} & -0.152876 x_{14} & -0.062946 x_{20} & -1.131417 x_{5} & + 0.024466 x_{6} & -1.138666 x_{7} & -0.793042 x_{8} & -0.280159 x_{9} & + 0.548098 x_{10} & -1.378914 x_{11} & + 1.345197 x_{12}\\
 x_{3}   &  0.0597029997363 & -0.839842 x_{1} & + 0.143114 x_{13} & -0.229847 x_{14} & + 0.055821 x_{20} & -1.839786 x_{5} & + 0.492564 x_{6} & -1.318207 x_{7} & -0.971411 x_{8} & + 0.446308 x_{9} & + 1.000572 x_{10} & -1.194279 x_{11} & + 0.906889 x_{12}\\
 x_{15}   &  7.05790158711 & -13.661551 x_{1} & + 1.147535 x_{13} & -3.793199 x_{14} & + 1.282947 x_{20} & -34.539659 x_{5} & + 13.083161 x_{6} & -20.573743 x_{7} & -14.663628 x_{8} & + 13.18287 x_{9} & -1.516697 x_{10} & -14.413412 x_{11} & + 14.955169 x_{12}\\
 x_{16}   &  8.3794158733 & -5.510471 x_{1} & -0.487324 x_{13} & + 0.790108 x_{14} & -0.411559 x_{20} & + 10.312231 x_{5} & -0.039144 x_{6} & -2.765464 x_{7} & + 8.728914 x_{8} & -5.956902 x_{9} & + 2.35156 x_{10} & + 1.283145 x_{11} & -4.198427 x_{12}\\
 x_{17}   &  7.50602415722 & -1.961006 x_{1} & -0.205067 x_{13} & + 0.430482 x_{14} & -1.666422 x_{20} & + 9.707671 x_{5} & -5.583131 x_{6} & -10.635735 x_{7} & -9.04222 x_{8} & -4.707288 x_{9} & + 13.020505 x_{10} & + 1.871677 x_{11} & + 1.896844 x_{12}\\
 x_{18}   &  7.51710360226 & + 2.562984 x_{1} & + 0.66466 x_{13} & + 0.654601 x_{14} & -0.160197 x_{20} & + 4.877396 x_{5} & -6.055292 x_{6} & + 3.055918 x_{7} & + 0.284285 x_{8} & + 1.712127 x_{9} & + 8.427001 x_{10} & + 12.291722 x_{11} & -2.149367 x_{12}\\
 x_{19}   &  7.41723207423 & + 2.514672 x_{1} & -0.525316 x_{13} & + 2.007142 x_{14} & -2.013206 x_{20} & + 13.411644 x_{5} & -12.608592 x_{6} & + 6.97679 x_{7} & -7.623246 x_{8} & -16.11172 x_{9} & + 2.509111 x_{10} & + 2.987169 x_{11} & -4.813851 x_{12}\\
 x_{4}   &  0.156298212052 & -0.439391 x_{1} & + 0.01195 x_{13} & + 0.16505 x_{14} & -0.210941 x_{20} & + 1.600598 x_{5} & -1.700542 x_{6} & + 0.182368 x_{7} & -0.821603 x_{8} & -1.671476 x_{9} & + 1.007888 x_{10} & + 0.518079 x_{11} & + 0.03025 x_{12}\\
 x_{21}   &  5.32357993593 & -11.748848 x_{1} & + 0.284394 x_{13} & -0.316019 x_{14} & -0.968651 x_{20} & -5.126706 x_{5} & -10.47493 x_{6} & -4.489763 x_{7} & -0.436406 x_{8} & -4.331058 x_{9} & -0.514151 x_{10} & -6.477953 x_{11} & + 2.590824 x_{12}\\
 x_{22}   &  1.30664127148 & + 9.61479 x_{1} & + 0.947888 x_{13} & -1.456878 x_{14} & + 1.633535 x_{20} & -20.104674 x_{5} & + 14.149925 x_{6} & -11.601418 x_{7} & -3.458744 x_{8} & + 15.597814 x_{9} & + 0.521469 x_{10} & -4.396917 x_{11} & + 4.484042 x_{12}\\
 x_{23}   &  9.2993812027 & + 5.345361 x_{1} & -0.146099 x_{13} & + 1.310689 x_{14} & -1.528957 x_{20} & + 20.000106 x_{5} & -14.766419 x_{6} & -4.112319 x_{7} & + 0.017933 x_{8} & -17.503479 x_{9} & + 4.398397 x_{10} & + 2.618871 x_{11} & -7.49989 x_{12}\\
 x_{24}   &  7.6723886249 & + 5.160059 x_{1} & -1.196332 x_{13} & + 2.663807 x_{14} & -0.229067 x_{20} & + 22.61008 x_{5} & -3.940289 x_{6} & + 19.280673 x_{7} & + 19.010721 x_{8} & -3.582634 x_{9} & -4.449785 x_{10} & + 11.777145 x_{11} & -20.459917 x_{12}\\
 x_{25}   &  1.10850888364 & -14.929007 x_{1} & + 1.007147 x_{13} & -1.877806 x_{14} & + 0.080404 x_{20} & -12.523398 x_{5} & + 1.8716 x_{6} & -8.611109 x_{7} & -10.021936 x_{8} & + 7.597436 x_{9} & + 2.497206 x_{10} & -11.122051 x_{11} & + 9.601661 x_{12}\\
 x_{26}   &  7.15156999478 & -10.269214 x_{1} & + 0.938221 x_{13} & -2.228888 x_{14} & + 0.78539 x_{20} & -13.482998 x_{5} & + 7.672007 x_{6} & -18.519832 x_{7} & -10.864086 x_{8} & + 0.486525 x_{9} & + 9.179408 x_{10} & -13.667644 x_{11} & + 5.906521 x_{12}\\
 x_{27}   &  9.14982580547 & -12.410259 x_{1} & + 0.709552 x_{13} & -0.185432 x_{14} & -1.201488 x_{20} & + 1.333257 x_{5} & -5.903058 x_{6} & -5.423278 x_{7} & -10.504199 x_{8} & -8.832076 x_{9} & + 8.483864 x_{10} & -3.796229 x_{11} & -0.113659 x_{12}\\
 x_{28}   &  8.64406027523 & + 3.332967 x_{1} & + 0.527812 x_{13} & -0.334162 x_{14} & + 0.987916 x_{20} & -4.493679 x_{5} & + 6.506836 x_{6} & -6.767797 x_{7} & -2.97845 x_{8} & + 9.225895 x_{9} & -7.471782 x_{10} & + 3.772711 x_{11} & -7.926778 x_{12}\\
 x_{29}   &  2.90967298554 & + 14.27079 x_{1} & -1.067961 x_{13} & + 2.652856 x_{14} & -1.194677 x_{20} & + 16.341951 x_{5} & -6.652408 x_{6} & + 17.174079 x_{7} & + 4.503711 x_{8} & -17.124758 x_{9} & -2.394156 x_{10} & + 18.069012 x_{11} & -9.286125 x_{12}\\
 x_{30}   &  8.83152387952 & + 6.590485 x_{1} & -1.073936 x_{13} & + 1.570331 x_{14} & -0.089207 x_{20} & + 19.841652 x_{5} & -1.402136 x_{6} & + 8.482895 x_{7} & + 15.914513 x_{8} & + 0.71098 x_{9} & -15.9981 x_{10} & + 10.509973 x_{11} & -2.00125 x_{12}\\
 x_{31}   &  9.72095551728 & -6.224823 x_{1} & + 0.641193 x_{13} & + 1.12859 x_{14} & -0.722467 x_{20} & + 17.988522 x_{5} & -15.798781 x_{6} & + 9.311389 x_{7} & -10.739768 x_{8} & -14.201119 x_{9} & + 1.056111 x_{10} & + 12.988847 x_{11} & + 0.732541 x_{12}\\
\hline
z    &  1.39260865419 & -9.519189 x_{1} & + 0.440749 x_{13} & -0.212759 x_{14} & -1.024483 x_{20} & -2.849867 x_{5} & -8.418648 x_{6} & -4.59511 x_{7} & -4.913444 x_{8} & -9.074743 x_{9} & + 4.427086 x_{10} & -1.462529 x_{11} & + 2.026064 x_{12}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{30} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.487507878785 & -0.900537 x_{1} & -0.01727 x_{13} & -0.099076 x_{14} & -0.066002 x_{20} & -0.451638 x_{5} & -0.023572 x_{6} & -0.84804 x_{7} & -0.247808 x_{8} & -0.2558 x_{9} & -0.03426 x_{30} & -1.01884 x_{11} & + 1.276634 x_{12}\\
 x_{3}   &  0.612054675522 & -0.427652 x_{1} & + 0.075947 x_{13} & -0.131633 x_{14} & + 0.050242 x_{20} & -0.598826 x_{5} & + 0.40487 x_{6} & -0.787659 x_{7} & + 0.023934 x_{8} & + 0.490775 x_{9} & -0.062543 x_{30} & -0.536952 x_{11} & + 0.781724 x_{12}\\
 x_{15}   &  6.22063033503 & -14.286361 x_{1} & + 1.24935 x_{13} & -3.942074 x_{14} & + 1.291404 x_{20} & -36.420743 x_{5} & + 13.216091 x_{6} & -21.377963 x_{7} & -16.172401 x_{8} & + 13.115466 x_{9} & + 0.094805 x_{30} & -15.409808 x_{11} & + 15.144897 x_{12}\\
 x_{16}   &  9.67756108105 & -4.541736 x_{1} & -0.645182 x_{13} & + 1.020931 x_{14} & -0.424672 x_{20} & + 13.228754 x_{5} & -0.245244 x_{6} & -1.518564 x_{7} & + 11.068187 x_{8} & -5.852395 x_{9} & -0.14699 x_{30} & + 2.828005 x_{11} & -4.492591 x_{12}\\
 x_{17}   &  14.6938088375 & + 3.402847 x_{1} & -1.07912 x_{13} & + 1.708541 x_{14} & -1.739025 x_{20} & + 25.856359 x_{5} & -6.7243 x_{6} & -3.731692 x_{7} & + 3.910255 x_{8} & -4.128636 x_{9} & -0.813878 x_{30} & + 10.425514 x_{11} & + 0.268071 x_{12}\\
 x_{18}   &  12.1691096901 & + 6.034523 x_{1} & + 0.098964 x_{13} & + 1.481773 x_{14} & -0.207187 x_{20} & + 15.328988 x_{5} & -6.793868 x_{6} & + 7.524284 x_{7} & + 8.667256 x_{8} & + 2.086636 x_{9} & -0.52675 x_{30} & + 17.827851 x_{11} & -3.203526 x_{12}\\
 x_{19}   &  8.80235104617 & + 3.548311 x_{1} & -0.69375 x_{13} & + 2.253429 x_{14} & -2.027197 x_{20} & + 16.52357 x_{5} & -12.828501 x_{6} & + 8.30723 x_{7} & -5.127245 x_{8} & -16.000211 x_{9} & -0.156838 x_{30} & + 4.635533 x_{11} & -5.127723 x_{12}\\
 x_{4}   &  0.712688365812 & -0.024187 x_{1} & -0.055709 x_{13} & + 0.263982 x_{14} & -0.216561 x_{20} & + 2.850631 x_{5} & -1.788878 x_{6} & + 0.716795 x_{7} & + 0.181018 x_{8} & -1.626684 x_{9} & -0.063 x_{30} & + 1.180212 x_{11} & -0.09583 x_{12}\\
 x_{21}   &  5.03975019124 & -11.960655 x_{1} & + 0.318909 x_{13} & -0.366486 x_{14} & -0.965784 x_{20} & -5.764382 x_{5} & -10.429868 x_{6} & -4.762388 x_{7} & -0.947871 x_{8} & -4.353908 x_{9} & + 0.032138 x_{30} & -6.815725 x_{11} & + 2.65514 x_{12}\\
 x_{22}   &  1.59451104264 & + 9.829612 x_{1} & + 0.912882 x_{13} & -1.405692 x_{14} & + 1.630627 x_{20} & -19.457921 x_{5} & + 14.104221 x_{6} & -11.324912 x_{7} & -2.939999 x_{8} & + 15.620989 x_{9} & -0.032596 x_{30} & -4.054337 x_{11} & + 4.41881 x_{12}\\
 x_{23}   &  11.7274535256 & + 7.157299 x_{1} & -0.441359 x_{13} & + 1.742424 x_{14} & -1.553482 x_{20} & + 25.45522 x_{5} & -15.151912 x_{6} & -1.780096 x_{7} & + 4.393349 x_{8} & -17.308008 x_{9} & -0.274932 x_{30} & + 5.508404 x_{11} & -8.050099 x_{12}\\
 x_{24}   &  5.21594785242 & + 3.326951 x_{1} & -0.897623 x_{13} & + 2.227028 x_{14} & -0.204255 x_{20} & + 17.091232 x_{5} & -3.550292 x_{6} & + 16.921201 x_{7} & + 14.584185 x_{8} & -3.78039 x_{9} & + 0.278145 x_{30} & + 8.853853 x_{11} & -19.90328 x_{12}\\
 x_{25}   &  2.48705603789 & -13.900272 x_{1} & + 0.839512 x_{13} & -1.632687 x_{14} & + 0.06648 x_{20} & -9.426237 x_{5} & + 1.652735 x_{6} & -7.286981 x_{7} & -7.537777 x_{8} & + 7.708416 x_{9} & -0.156094 x_{30} & -9.481508 x_{11} & + 9.289278 x_{12}\\
 x_{26}   &  12.2189316841 & -6.487718 x_{1} & + 0.322017 x_{13} & -1.327861 x_{14} & + 0.734205 x_{20} & -2.098233 x_{5} & + 6.867487 x_{6} & -13.652507 x_{7} & -1.732639 x_{8} & + 0.894472 x_{9} & -0.573781 x_{30} & -7.63722 x_{11} & + 4.758241 x_{12}\\
 x_{27}   &  13.833222388 & -8.915295 x_{1} & + 0.140039 x_{13} & + 0.647322 x_{14} & -1.248795 x_{20} & + 11.855374 x_{5} & -6.646617 x_{6} & -0.924761 x_{7} & -2.064662 x_{8} & -8.455041 x_{9} & -0.530304 x_{30} & + 1.777257 x_{11} & -1.174931 x_{12}\\
 x_{28}   &  4.51936915789 & + 0.254934 x_{1} & + 1.029385 x_{13} & -1.067572 x_{14} & + 1.029579 x_{20} & -13.76056 x_{5} & + 7.161692 x_{6} & -10.729664 x_{7} & -10.411194 x_{8} & + 8.893837 x_{9} & + 0.467042 x_{30} & -1.135886 x_{11} & -6.99211 x_{12}\\
 x_{29}   &  1.58801293457 & + 13.284507 x_{1} & -0.907244 x_{13} & + 2.417852 x_{14} & -1.181327 x_{20} & + 13.372597 x_{5} & -6.442574 x_{6} & + 15.904592 x_{7} & + 2.122064 x_{8} & -17.231158 x_{9} & + 0.149653 x_{30} & + 16.496168 x_{11} & -8.986633 x_{12}\\
 x_{10}   &  0.55203578257 & + 0.411954 x_{1} & -0.067129 x_{13} & + 0.098157 x_{14} & -0.005576 x_{20} & + 1.24025 x_{5} & -0.087644 x_{6} & + 0.530244 x_{7} & + 0.994775 x_{8} & + 0.044442 x_{9} & -0.062507 x_{30} & + 0.656951 x_{11} & -0.125093 x_{12}\\
 x_{31}   &  10.3039667976 & -5.789753 x_{1} & + 0.570297 x_{13} & + 1.232255 x_{14} & -0.728356 x_{20} & + 19.298364 x_{5} & -15.891343 x_{6} & + 9.871386 x_{7} & -9.689175 x_{8} & -14.154183 x_{9} & -0.066015 x_{30} & + 13.682661 x_{11} & + 0.600429 x_{12}\\
\hline
z    &  3.83651837637 & -7.695432 x_{1} & + 0.143563 x_{13} & + 0.221793 x_{14} & -1.049168 x_{20} & + 2.640828 x_{5} & -8.806655 x_{6} & -2.247675 x_{7} & -0.509489 x_{8} & -8.877996 x_{9} & -0.276726 x_{30} & + 1.44585 x_{11} & + 1.472267 x_{12}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{22} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.450497673628 & -1.128693 x_{1} & -0.038459 x_{13} & -0.066449 x_{14} & -0.10385 x_{20} & + 0.023211 x_{22} & -0.350945 x_{6} & -0.585177 x_{7} & -0.179567 x_{8} & -0.618379 x_{9} & -0.033504 x_{30} & -0.924735 x_{11} & + 1.174069 x_{12}\\
 x_{3}   &  0.562982926693 & -0.730162 x_{1} & + 0.047853 x_{13} & -0.088373 x_{14} & + 0.000058 x_{20} & + 0.030775 x_{22} & -0.029194 x_{6} & -0.43913 x_{7} & + 0.114413 x_{8} & + 0.010033 x_{9} & -0.06154 x_{30} & -0.412178 x_{11} & + 0.645733 x_{12}\\
 x_{15}   &  3.23607319647 & -32.685128 x_{1} & -0.459355 x_{13} & -1.310944 x_{14} & -1.760754 x_{20} & + 1.87177 x_{22} & -13.18376 x_{6} & -0.180338 x_{7} & -10.6694 x_{8} & -16.123425 x_{9} & + 0.155816 x_{30} & -7.821025 x_{11} & + 6.873904 x_{12}\\
 x_{16}   &  10.7616128734 & + 2.14107 x_{1} & -0.024546 x_{13} & + 0.065251 x_{14} & + 0.683934 x_{20} & -0.679865 x_{22} & + 9.343719 x_{6} & -9.217972 x_{7} & + 9.069386 x_{8} & + 4.767764 x_{9} & -0.169151 x_{30} & + 0.071605 x_{11} & -1.488398 x_{12}\\
 x_{17}   &  16.8126502962 & + 16.464774 x_{1} & + 0.133949 x_{13} & -0.159391 x_{14} & + 0.427809 x_{20} & -1.328835 x_{22} & + 12.017877 x_{6} & -18.780627 x_{7} & + 0.003482 x_{8} & + 16.629075 x_{9} & -0.857192 x_{30} & + 5.037971 x_{11} & + 6.139938 x_{12}\\
 x_{18}   &  13.4252685632 & + 13.778309 x_{1} & + 0.818134 x_{13} & + 0.374367 x_{14} & + 1.077424 x_{20} & -0.787802 x_{22} & + 4.317465 x_{6} & -1.397504 x_{7} & + 6.351119 x_{8} & + 14.392882 x_{9} & -0.552429 x_{30} & + 14.633837 x_{11} & + 0.277621 x_{12}\\
 x_{19}   &  10.1564018888 & + 11.895568 x_{1} & + 0.081465 x_{13} & + 1.059723 x_{14} & -0.642477 x_{20} & -0.849195 x_{22} & -0.851267 x_{6} & -1.309829 x_{7} & -7.623878 x_{8} & -2.734945 x_{9} & -0.184518 x_{30} & + 1.19261 x_{11} & -1.375292 x_{12}\\
 x_{4}   &  0.946288001887 & + 1.415874 x_{1} & + 0.07803 x_{13} & + 0.058044 x_{14} & + 0.02233 x_{20} & -0.146502 x_{22} & + 0.277424 x_{6} & -0.942332 x_{7} & -0.249699 x_{8} & + 0.661827 x_{9} & -0.067776 x_{30} & + 0.586242 x_{11} & + 0.551536 x_{12}\\
 x_{21}   &  4.56737852481 & -14.872663 x_{1} & + 0.048469 x_{13} & + 0.049948 x_{14} & -1.448855 x_{20} & + 0.296249 x_{22} & -14.608224 x_{6} & -1.407399 x_{7} & -0.0769 x_{8} & -8.981604 x_{9} & + 0.041795 x_{30} & -5.614633 x_{11} & + 1.346074 x_{12}\\
 x_{5}   &  0.0819466289976 & + 0.505173 x_{1} & + 0.046916 x_{13} & -0.072243 x_{14} & + 0.083803 x_{20} & -0.051393 x_{22} & + 0.724858 x_{6} & -0.582021 x_{7} & -0.151095 x_{8} & + 0.802809 x_{9} & -0.001675 x_{30} & -0.208364 x_{11} & + 0.227096 x_{12}\\
 x_{23}   &  13.8134229617 & + 20.016583 x_{1} & + 0.75289 x_{13} & -0.096528 x_{14} & + 0.579735 x_{20} & -1.308219 x_{22} & + 3.299496 x_{6} & -16.59556 x_{7} & + 0.547186 x_{8} & + 3.127665 x_{9} & -0.317575 x_{30} & + 0.204444 x_{11} & -2.269328 x_{12}\\
 x_{24}   &  6.61651667975 & + 11.960976 x_{1} & -0.095776 x_{13} & + 0.992312 x_{14} & + 1.228037 x_{20} & -0.878369 x_{22} & + 8.838416 x_{6} & + 6.973751 x_{7} & + 12.001781 x_{8} & + 9.940601 x_{9} & + 0.249514 x_{30} & + 5.29265 x_{11} & -16.021935 x_{12}\\
 x_{25}   &  1.71460769047 & -18.66215 x_{1} & + 0.397274 x_{13} & -0.95171 x_{14} & -0.723465 x_{20} & + 0.484442 x_{22} & -5.179944 x_{6} & -1.800716 x_{7} & -6.113517 x_{8} & + 0.14095 x_{9} & -0.140303 x_{30} & -7.517416 x_{11} & + 7.148621 x_{12}\\
 x_{26}   &  12.0469885906 & -7.547688 x_{1} & + 0.223577 x_{13} & -1.176279 x_{14} & + 0.558367 x_{20} & + 0.107834 x_{22} & + 5.346567 x_{6} & -12.431292 x_{7} & -1.415606 x_{8} & -0.790008 x_{9} & -0.570266 x_{30} & -7.200023 x_{11} & + 4.281742 x_{12}\\
 x_{27}   &  14.8047303277 & -2.926283 x_{1} & + 0.696242 x_{13} & -0.209141 x_{14} & -0.255282 x_{20} & -0.609283 x_{22} & + 1.94684 x_{6} & -7.824833 x_{7} & -3.855953 x_{8} & + 1.062557 x_{9} & -0.550164 x_{30} & -0.692981 x_{11} & + 1.517373 x_{12}\\
 x_{28}   &  3.3917376535 & -6.696525 x_{1} & + 0.383799 x_{13} & -0.073473 x_{14} & -0.123594 x_{20} & + 0.707196 x_{22} & -2.812753 x_{6} & -2.720734 x_{7} & -8.332038 x_{8} & -2.153261 x_{9} & + 0.490093 x_{30} & + 1.731324 x_{11} & -10.117074 x_{12}\\
 x_{29}   &  2.68385218882 & + 20.039978 x_{1} & -0.279859 x_{13} & + 1.451781 x_{14} & -0.060667 x_{20} & -0.687257 x_{22} & + 3.250654 x_{6} & + 8.121464 x_{7} & + 0.101528 x_{8} & -6.49552 x_{9} & + 0.127251 x_{30} & + 13.709795 x_{11} & -5.949774 x_{12}\\
 x_{10}   &  0.653670129204 & + 1.038495 x_{1} & -0.008942 x_{13} & + 0.008558 x_{14} & + 0.09836 x_{20} & -0.06374 x_{22} & + 0.811361 x_{6} & -0.191608 x_{7} & + 0.807379 x_{8} & + 1.040125 x_{9} & -0.064585 x_{30} & + 0.398527 x_{11} & + 0.156563 x_{12}\\
 x_{31}   &  11.885402701 & + 3.959255 x_{1} & + 1.475693 x_{13} & -0.16191 x_{14} & + 0.8889 x_{20} & -0.9918 x_{22} & -1.902778 x_{6} & -1.360661 x_{7} & -12.605066 x_{8} & + 1.338712 x_{9} & -0.098343 x_{30} & + 9.66157 x_{11} & + 4.983004 x_{12}\\
\hline
z    &  4.05292536556 & -6.361358 x_{1} & + 0.267459 x_{13} & + 0.031012 x_{14} & -0.82786 x_{20} & -0.13572 x_{22} & -6.892431 x_{6} & -3.784692 x_{7} & -0.908505 x_{8} & -6.757916 x_{9} & -0.28115 x_{30} & + 0.895596 x_{11} & + 2.071988 x_{12}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.23957986292 & + 1.166981 x_{1} & -0.087329 x_{13} & + 0.050623 x_{14} & -0.014855 x_{20} & -0.036381 x_{22} & + 0.286252 x_{6} & -0.363667 x_{7} & + 0.57247 x_{8} & -0.635718 x_{9} & -0.016245 x_{30} & + 0.123012 x_{25} & + 0.2947 x_{12}\\
 x_{3}   &  0.468971505772 & + 0.293078 x_{1} & + 0.02607 x_{13} & -0.036191 x_{14} & + 0.039726 x_{20} & + 0.004214 x_{22} & + 0.254821 x_{6} & -0.340398 x_{7} & + 0.449616 x_{8} & + 0.002304 x_{9} & -0.053847 x_{30} & + 0.05483 x_{25} & + 0.253777 x_{12}\\
 x_{15}   &  1.45221706491 & -13.269263 x_{1} & -0.872674 x_{13} & -0.320796 x_{14} & -1.008071 x_{20} & + 1.367762 x_{22} & -7.794612 x_{6} & + 1.693105 x_{7} & -4.308974 x_{8} & -16.270068 x_{9} & + 0.301786 x_{30} & + 1.040387 x_{25} & -0.563431 x_{12}\\
 x_{16}   &  10.7779448268 & + 1.963309 x_{1} & -0.020761 x_{13} & + 0.056186 x_{14} & + 0.677043 x_{20} & -0.67525 x_{22} & + 9.294379 x_{6} & -9.235124 x_{7} & + 9.011153 x_{8} & + 4.769107 x_{9} & -0.170487 x_{30} & -0.009525 x_{25} & -1.420306 x_{12}\\
 x_{17}   &  17.9617344965 & + 3.957901 x_{1} & + 0.400191 x_{13} & -0.797202 x_{14} & -0.057038 x_{20} & -1.004174 x_{22} & + 8.546418 x_{6} & -19.987419 x_{7} & -4.093633 x_{8} & + 16.723536 x_{9} & -0.95122 x_{30} & -0.670173 x_{25} & + 10.930752 x_{12}\\
 x_{18}   &  16.7630228856 & -22.550509 x_{1} & + 1.591491 x_{13} & -1.478287 x_{14} & -0.330914 x_{20} & + 0.155241 x_{22} & -5.766113 x_{6} & -4.902882 x_{7} & -5.549807 x_{8} & + 14.667264 x_{9} & -0.825551 x_{30} & -1.946658 x_{25} & + 14.193538 x_{12}\\
 x_{19}   &  10.4284180209 & + 8.934888 x_{1} & + 0.144491 x_{13} & + 0.908738 x_{14} & -0.757252 x_{20} & -0.77234 x_{22} & -1.673045 x_{6} & -1.595506 x_{7} & -8.593765 x_{8} & -2.712583 x_{9} & -0.206777 x_{30} & -0.158646 x_{25} & -0.24119 x_{12}\\
 x_{4}   &  1.08000082475 & -0.039484 x_{1} & + 0.109012 x_{13} & -0.016174 x_{14} & -0.034089 x_{20} & -0.108723 x_{22} & -0.126531 x_{6} & -1.08276 x_{7} & -0.726458 x_{8} & + 0.672819 x_{9} & -0.078717 x_{30} & -0.077984 x_{25} & + 1.109018 x_{12}\\
 x_{21}   &  3.28676652538 & -0.934213 x_{1} & -0.248249 x_{13} & + 0.760764 x_{14} & -0.908511 x_{20} & -0.065573 x_{22} & -10.73941 x_{6} & -0.062474 x_{7} & + 4.489184 x_{8} & -9.086878 x_{9} & + 0.146585 x_{30} & + 0.746883 x_{25} & -3.993112 x_{12}\\
 x_{5}   &  0.0344219120165 & + 1.022442 x_{1} & + 0.035904 x_{13} & -0.045864 x_{14} & + 0.103855 x_{20} & -0.06482 x_{22} & + 0.868433 x_{6} & -0.532109 x_{7} & + 0.018356 x_{8} & + 0.798902 x_{9} & + 0.002214 x_{30} & + 0.027718 x_{25} & + 0.028953 x_{12}\\
 x_{23}   &  13.8600534889 & + 19.509046 x_{1} & + 0.763695 x_{13} & -0.122411 x_{14} & + 0.56006 x_{20} & -1.295044 x_{22} & + 3.158622 x_{6} & -16.644533 x_{7} & + 0.380923 x_{8} & + 3.131498 x_{9} & -0.32139 x_{30} & -0.027196 x_{25} & -2.074914 x_{12}\\
 x_{24}   &  7.82368924773 & -1.178144 x_{1} & + 0.183926 x_{13} & + 0.322259 x_{14} & + 0.718681 x_{20} & -0.537297 x_{22} & + 5.191468 x_{6} & + 5.705954 x_{7} & + 7.697548 x_{8} & + 10.039837 x_{9} & + 0.150733 x_{30} & -0.704052 x_{25} & -10.988936 x_{12}\\
 x_{11}   &  0.228084707138 & -2.482522 x_{1} & + 0.052847 x_{13} & -0.126601 x_{14} & -0.096238 x_{20} & + 0.064443 x_{22} & -0.689059 x_{6} & -0.239539 x_{7} & -0.813247 x_{8} & + 0.01875 x_{9} & -0.018664 x_{30} & -0.133024 x_{25} & + 0.950941 x_{12}\\
 x_{26}   &  10.404773354 & + 10.326527 x_{1} & -0.156924 x_{13} & -0.264751 x_{14} & + 1.251287 x_{20} & -0.356154 x_{22} & + 10.307809 x_{6} & -10.706604 x_{7} & + 4.439793 x_{8} & -0.925007 x_{9} & -0.435887 x_{30} & + 0.957779 x_{25} & -2.565057 x_{12}\\
 x_{27}   &  14.6466720709 & -1.205944 x_{1} & + 0.65962 x_{13} & -0.12141 x_{14} & -0.18859 x_{20} & -0.65394 x_{22} & + 2.424345 x_{6} & -7.658837 x_{7} & -3.292388 x_{8} & + 1.049564 x_{9} & -0.537231 x_{30} & + 0.092183 x_{25} & + 0.85839 x_{12}\\
 x_{28}   &  3.78662622346 & -10.994576 x_{1} & + 0.475295 x_{13} & -0.29266 x_{14} & -0.290214 x_{20} & + 0.818767 x_{22} & -4.005738 x_{6} & -3.135454 x_{7} & -9.740033 x_{8} & -2.120799 x_{9} & + 0.45778 x_{30} & -0.230308 x_{25} & -8.470687 x_{12}\\
 x_{29}   &  5.81084687779 & -13.994888 x_{1} & + 0.444664 x_{13} & -0.283889 x_{14} & -1.380077 x_{20} & + 0.196238 x_{22} & -6.196205 x_{6} & + 4.83743 x_{7} & -11.047924 x_{8} & -6.238464 x_{9} & -0.128625 x_{30} & -1.823738 x_{25} & + 7.087435 x_{12}\\
 x_{10}   &  0.74456811641 & + 0.049142 x_{1} & + 0.012119 x_{13} & -0.041895 x_{14} & + 0.060007 x_{20} & -0.038058 x_{22} & + 0.536752 x_{6} & -0.28707 x_{7} & + 0.483278 x_{8} & + 1.047598 x_{9} & -0.072023 x_{30} & -0.053014 x_{25} & + 0.535539 x_{12}\\
 x_{31}   &  14.0890590778 & -20.025804 x_{1} & + 1.98628 x_{13} & -1.385072 x_{14} & -0.040915 x_{20} & -0.369183 x_{22} & -8.56017 x_{6} & -3.674986 x_{7} & -20.46231 x_{8} & + 1.519865 x_{9} & -0.278664 x_{30} & -1.285225 x_{25} & + 14.170589 x_{12}\\
\hline
z    &  4.25719707059 & -8.584694 x_{1} & + 0.314789 x_{13} & -0.082371 x_{14} & -0.91405 x_{20} & -0.078005 x_{22} & -7.509549 x_{6} & -3.999222 x_{7} & -1.636846 x_{8} & -6.741124 x_{9} & -0.297865 x_{30} & -0.119136 x_{25} & + 2.923646 x_{12}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{28} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.371318944779 & + 0.784473 x_{1} & -0.070793 x_{13} & + 0.040442 x_{14} & -0.024952 x_{20} & -0.007896 x_{22} & + 0.14689 x_{6} & -0.472751 x_{7} & + 0.233609 x_{8} & -0.709502 x_{9} & -0.000318 x_{30} & + 0.115 x_{25} & -0.034791 x_{28}\\
 x_{3}   &  0.582416556566 & -0.036313 x_{1} & + 0.04031 x_{13} & -0.044959 x_{14} & + 0.031031 x_{20} & + 0.028743 x_{22} & + 0.134812 x_{6} & -0.434334 x_{7} & + 0.15781 x_{8} & -0.061233 x_{9} & -0.040132 x_{30} & + 0.04793 x_{25} & -0.029959 x_{28}\\
 x_{15}   &  1.20034830947 & -12.537955 x_{1} & -0.904288 x_{13} & -0.30133 x_{14} & -0.988767 x_{20} & + 1.313301 x_{22} & -7.528169 x_{6} & + 1.90166 x_{7} & -3.661112 x_{8} & -16.129003 x_{9} & + 0.271337 x_{30} & + 1.055706 x_{25} & + 0.066515 x_{28}\\
 x_{16}   &  10.1430294599 & + 3.806804 x_{1} & -0.100456 x_{13} & + 0.105257 x_{14} & + 0.725704 x_{20} & -0.812535 x_{22} & + 9.966033 x_{6} & -8.709393 x_{7} & + 10.644295 x_{8} & + 5.124708 x_{9} & -0.247244 x_{30} & + 0.029091 x_{25} & + 0.167673 x_{28}\\
 x_{17}   &  22.8480766826 & -10.229731 x_{1} & + 1.013521 x_{13} & -1.174856 x_{14} & -0.431536 x_{20} & + 0.05238 x_{22} & + 3.377329 x_{6} & -24.033474 x_{7} & -16.662377 x_{8} & + 13.986813 x_{9} & -0.36049 x_{30} & -0.967368 x_{25} & -1.290421 x_{28}\\
 x_{18}   &  23.10791874 & -40.973092 x_{1} & + 2.387898 x_{13} & -1.96867 x_{14} & -0.817198 x_{20} & + 1.527172 x_{22} & -12.478154 x_{6} & -10.156669 x_{7} & -21.87027 x_{8} & + 11.11364 x_{9} & -0.058492 x_{30} & -2.332564 x_{25} & -1.675607 x_{28}\\
 x_{19}   &  10.3205997335 & + 9.247941 x_{1} & + 0.130958 x_{13} & + 0.917071 x_{14} & -0.748988 x_{20} & -0.795653 x_{22} & -1.558988 x_{6} & -1.506228 x_{7} & -8.316432 x_{8} & -2.652197 x_{9} & -0.219811 x_{30} & -0.152089 x_{25} & + 0.028473 x_{28}\\
 x_{4}   &  1.57576180969 & -1.47894 x_{1} & + 0.171239 x_{13} & -0.05449 x_{14} & -0.072085 x_{20} & -0.001527 x_{22} & -0.650979 x_{6} & -1.493266 x_{7} & -2.001664 x_{8} & + 0.395156 x_{9} & -0.018783 x_{30} & -0.108137 x_{25} & -0.130924 x_{28}\\
 x_{21}   &  1.5017373811 & + 4.248669 x_{1} & -0.472304 x_{13} & + 0.898725 x_{14} & -0.771703 x_{20} & -0.451543 x_{22} & -8.851091 x_{6} & + 1.41559 x_{7} & + 9.080671 x_{8} & -8.087126 x_{9} & -0.069215 x_{30} & + 0.855452 x_{25} & + 0.471404 x_{28}\\
 x_{5}   &  0.0473648944762 & + 0.984861 x_{1} & + 0.037529 x_{13} & -0.046864 x_{14} & + 0.102863 x_{20} & -0.062022 x_{22} & + 0.854741 x_{6} & -0.542826 x_{7} & -0.014936 x_{8} & + 0.791653 x_{9} & + 0.003778 x_{30} & + 0.02693 x_{25} & -0.003418 x_{28}\\
 x_{23}   &  12.9325107458 & + 22.202193 x_{1} & + 0.64727 x_{13} & -0.050723 x_{14} & + 0.631148 x_{20} & -1.495603 x_{22} & + 4.139837 x_{6} & -15.876496 x_{7} & + 2.766766 x_{8} & + 3.650993 x_{9} & -0.433525 x_{30} & + 0.029219 x_{25} & + 0.244952 x_{28}\\
 x_{24}   &  2.91133731825 & + 13.085008 x_{1} & -0.432669 x_{13} & + 0.701924 x_{14} & + 1.095172 x_{20} & -1.599475 x_{22} & + 10.388071 x_{6} & + 9.773546 x_{7} & + 20.333195 x_{8} & + 12.791128 x_{9} & -0.443141 x_{30} & -0.405275 x_{25} & + 1.29729 x_{28}\\
 x_{11}   &  0.653181147524 & -3.716801 x_{1} & + 0.106205 x_{13} & -0.159455 x_{14} & -0.128819 x_{20} & + 0.15636 x_{22} & -1.138754 x_{6} & -0.591533 x_{7} & -1.906688 x_{8} & -0.219336 x_{9} & + 0.032728 x_{30} & -0.158879 x_{25} & -0.112263 x_{28}\\
 x_{26}   &  9.25812345374 & + 13.655857 x_{1} & -0.30085 x_{13} & -0.176129 x_{14} & + 1.339168 x_{20} & -0.60409 x_{22} & + 11.520809 x_{6} & -9.757139 x_{7} & + 7.389228 x_{8} & -0.282796 x_{9} & -0.57451 x_{30} & + 1.02752 x_{25} & + 0.302816 x_{28}\\
 x_{27}   &  15.0303955414 & -2.320096 x_{1} & + 0.707785 x_{13} & -0.151067 x_{14} & -0.217999 x_{20} & -0.570969 x_{22} & + 2.018417 x_{6} & -7.976573 x_{7} & -4.279409 x_{8} & + 0.83465 x_{9} & -0.490841 x_{30} & + 0.068845 x_{25} & -0.101337 x_{28}\\
 x_{12}   &  0.447027072618 & -1.297956 x_{1} & + 0.056111 x_{13} & -0.03455 x_{14} & -0.034261 x_{20} & + 0.096659 x_{22} & -0.472894 x_{6} & -0.370153 x_{7} & -1.149852 x_{8} & -0.250369 x_{9} & + 0.054043 x_{30} & -0.027189 x_{25} & -0.118054 x_{28}\\
 x_{29}   &  8.9791221561 & -23.194064 x_{1} & + 0.842344 x_{13} & -0.528758 x_{14} & -1.622899 x_{20} & + 0.881302 x_{22} & -9.547811 x_{6} & + 2.213992 x_{7} & -19.197423 x_{8} & -8.012939 x_{9} & + 0.2544 x_{30} & -2.016437 x_{25} & -0.836701 x_{28}\\
 x_{10}   &  0.983968362648 & -0.645963 x_{1} & + 0.042169 x_{13} & -0.060398 x_{14} & + 0.041659 x_{20} & + 0.013707 x_{22} & + 0.283499 x_{6} & -0.485302 x_{7} & -0.132512 x_{8} & + 0.913515 x_{9} & -0.043081 x_{30} & -0.067575 x_{25} & -0.063223 x_{28}\\
 x_{31}   &  20.4236958342 & -38.418599 x_{1} & + 2.781399 x_{13} & -1.874662 x_{14} & -0.526413 x_{20} & + 1.00053 x_{22} & -15.261358 x_{6} & -8.920278 x_{7} & -36.756385 x_{8} & -2.028013 x_{9} & + 0.487155 x_{30} & -1.670507 x_{25} & -1.672897 x_{28}\\
\hline
z    &  5.56414617269 & -12.379457 x_{1} & + 0.478836 x_{13} & -0.183382 x_{14} & -1.014217 x_{20} & + 0.204591 x_{22} & -8.892124 x_{6} & -5.08142 x_{7} & -4.998606 x_{8} & -7.473115 x_{9} & -0.139862 x_{30} & -0.198627 x_{25} & -0.345149 x_{28}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.277348966486 & + 1.766014 x_{1} & + 0.078286 x_{15} & + 0.064031 x_{14} & + 0.052454 x_{20} & -0.110709 x_{22} & + 0.736237 x_{6} & -0.621624 x_{7} & + 0.520221 x_{8} & + 0.553167 x_{9} & -0.02156 x_{30} & + 0.032353 x_{25} & -0.039998 x_{28}\\
 x_{3}   &  0.63592366803 & -0.595209 x_{1} & -0.044576 x_{15} & -0.058391 x_{14} & -0.013045 x_{20} & + 0.087286 x_{22} & -0.200767 x_{6} & -0.349565 x_{7} & -0.005389 x_{8} & -0.780205 x_{9} & -0.028037 x_{30} & + 0.094989 x_{25} & -0.026994 x_{28}\\
 x_{13}   &  1.3273959582 & -13.865002 x_{1} & -1.105842 x_{15} & -0.333223 x_{14} & -1.09342 x_{20} & + 1.452304 x_{22} & -8.324968 x_{6} & + 2.102937 x_{7} & -4.048613 x_{8} & -17.836134 x_{9} & + 0.300056 x_{30} & + 1.167445 x_{25} & + 0.073555 x_{28}\\
 x_{16}   &  10.0096851372 & + 5.199621 x_{1} & + 0.111088 x_{15} & + 0.138731 x_{14} & + 0.835545 x_{20} & -0.958428 x_{22} & + 10.802323 x_{6} & -8.920645 x_{7} & + 11.051 x_{8} & + 6.916447 x_{9} & -0.277387 x_{30} & -0.088185 x_{25} & + 0.160284 x_{28}\\
 x_{17}   &  24.1934209222 & -24.282207 x_{1} & -1.120795 x_{15} & -1.512585 x_{14} & -1.539741 x_{20} & + 1.524321 x_{22} & -5.060205 x_{6} & -21.902103 x_{7} & -20.765733 x_{8} & -4.090491 x_{9} & -0.056378 x_{30} & + 0.215862 x_{25} & -1.215871 x_{28}\\
 x_{18}   &  26.2776043746 & -74.081297 x_{1} & -2.640638 x_{15} & -2.764374 x_{14} & -3.428174 x_{20} & + 4.995126 x_{22} & -32.357325 x_{6} & -5.135071 x_{7} & -31.537943 x_{8} & -31.477222 x_{9} & + 0.658011 x_{30} & + 0.455175 x_{25} & -1.499964 x_{28}\\
 x_{19}   &  10.4944325059 & + 7.432212 x_{1} & -0.144819 x_{15} & + 0.873433 x_{14} & -0.89218 x_{20} & -0.605463 x_{22} & -2.649207 x_{6} & -1.230833 x_{7} & -8.84663 x_{8} & -4.987977 x_{9} & -0.180517 x_{30} & + 0.000797 x_{25} & + 0.038106 x_{28}\\
 x_{4}   &  1.80306406925 & -3.853173 x_{1} & -0.189364 x_{15} & -0.111551 x_{14} & -0.259322 x_{20} & + 0.247164 x_{22} & -2.076541 x_{6} & -1.133161 x_{7} & -2.694945 x_{8} & -2.65909 x_{9} & + 0.032599 x_{30} & + 0.091775 x_{25} & -0.118329 x_{28}\\
 x_{21}   &  0.874802734655 & + 10.797167 x_{1} & + 0.522294 x_{15} & + 1.056108 x_{14} & -0.255276 x_{20} & -1.137472 x_{22} & -4.919173 x_{6} & + 0.422365 x_{7} & + 10.992847 x_{8} & + 0.336955 x_{9} & -0.210932 x_{30} & + 0.304063 x_{25} & + 0.436663 x_{28}\\
 x_{5}   &  0.0971805029106 & + 0.464524 x_{1} & -0.041501 x_{15} & -0.059369 x_{14} & + 0.061829 x_{20} & -0.007519 x_{22} & + 0.542315 x_{6} & -0.463906 x_{7} & -0.166875 x_{8} & + 0.122284 x_{9} & + 0.015039 x_{30} & + 0.070743 x_{25} & -0.000658 x_{28}\\
 x_{23}   &  13.7916945726 & + 13.22779 x_{1} & -0.715779 x_{15} & -0.266409 x_{14} & -0.07659 x_{20} & -0.555569 x_{22} & -1.248667 x_{6} & -14.515328 x_{7} & + 0.14622 x_{8} & -7.893805 x_{9} & -0.239308 x_{30} & + 0.784871 x_{25} & + 0.292563 x_{28}\\
 x_{24}   &  2.33701415788 & + 19.083965 x_{1} & + 0.478464 x_{15} & + 0.846099 x_{14} & + 1.568261 x_{20} & -2.227842 x_{22} & + 13.990028 x_{6} & + 8.86367 x_{7} & + 22.084904 x_{8} & + 20.508271 x_{9} & -0.572966 x_{30} & -0.910392 x_{25} & + 1.265465 x_{28}\\
 x_{11}   &  0.794157166028 & -5.189333 x_{1} & -0.117446 x_{15} & -0.194845 x_{14} & -0.244945 x_{20} & + 0.310601 x_{22} & -2.022906 x_{6} & -0.368191 x_{7} & -2.336671 x_{8} & -2.113622 x_{9} & + 0.064595 x_{30} & -0.034891 x_{25} & -0.104451 x_{28}\\
 x_{26}   &  8.85877596441 & + 17.827147 x_{1} & + 0.332693 x_{15} & -0.075879 x_{14} & + 1.668124 x_{20} & -1.041016 x_{22} & + 14.025378 x_{6} & -10.389809 x_{7} & + 8.607254 x_{8} & + 5.083211 x_{9} & -0.664782 x_{30} & + 0.676294 x_{25} & + 0.280687 x_{28}\\
 x_{27}   &  15.9699065811 & -12.133537 x_{1} & -0.782699 x_{15} & -0.386917 x_{14} & -0.991906 x_{20} & + 0.45695 x_{22} & -3.873871 x_{6} & -6.488146 x_{7} & -7.144957 x_{8} & -11.789499 x_{9} & -0.278466 x_{30} & + 0.895145 x_{25} & -0.049275 x_{28}\\
 x_{12}   &  0.521507943339 & -2.075928 x_{1} & -0.062049 x_{15} & -0.053247 x_{14} & -0.095613 x_{20} & + 0.178148 x_{22} & -0.940012 x_{6} & -0.252157 x_{7} & -1.377021 x_{8} & -1.251164 x_{9} & + 0.070879 x_{30} & + 0.038317 x_{25} & -0.113927 x_{28}\\
 x_{29}   &  10.097246179 & -34.873165 x_{1} & -0.9315 x_{15} & -0.809447 x_{14} & -2.543935 x_{20} & + 2.104641 x_{22} & -16.560298 x_{6} & + 3.985388 x_{7} & -22.607748 x_{8} & -23.037099 x_{9} & + 0.50715 x_{30} & -1.033047 x_{25} & -0.774742 x_{28}\\
 x_{10}   &  1.03994282299 & -1.230631 x_{1} & -0.046632 x_{15} & -0.07445 x_{14} & -0.004449 x_{20} & + 0.074948 x_{22} & -0.067553 x_{6} & -0.396624 x_{7} & -0.303236 x_{8} & + 0.16139 x_{9} & -0.030428 x_{30} & -0.018345 x_{25} & -0.060121 x_{28}\\
 x_{31}   &  24.115713401 & -76.982699 x_{1} & -3.075789 x_{15} & -2.801489 x_{14} & -3.567651 x_{20} & + 5.039968 x_{22} & -38.416415 x_{6} & -3.071173 x_{7} & -48.017192 x_{8} & -51.637415 x_{9} & + 1.32173 x_{30} & + 1.576622 x_{25} & -1.46831 x_{28}\\
\hline
z    &  6.19975143951 & -19.018522 x_{1} & -0.529517 x_{15} & -0.342942 x_{14} & -1.537787 x_{20} & + 0.900007 x_{22} & -12.878421 x_{6} & -4.074458 x_{7} & -6.937228 x_{8} & -16.013702 x_{9} & + 0.003815 x_{30} & + 0.360388 x_{25} & -0.309928 x_{28}\\
\end{array}\]


 $ x_{22} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.192205699807 & + 0.715142 x_{1} & + 0.027451 x_{15} & -0.038758 x_{14} & + 0.0773 x_{20} & + 0.097329 x_{21} & + 1.215013 x_{6} & -0.662732 x_{7} & -0.549697 x_{8} & + 0.520371 x_{9} & -0.00103 x_{30} & + 0.002759 x_{25} & -0.082498 x_{28}\\
 x_{3}   &  0.703052876017 & + 0.233326 x_{1} & -0.004497 x_{15} & + 0.022651 x_{14} & -0.032634 x_{20} & -0.076736 x_{21} & -0.578246 x_{6} & -0.317154 x_{7} & + 0.838163 x_{8} & -0.754348 x_{9} & -0.044223 x_{30} & + 0.118322 x_{25} & + 0.006514 x_{28}\\
 x_{13}   &  2.4443285552 & -0.079371 x_{1} & -0.438987 x_{15} & + 1.015197 x_{14} & -1.419352 x_{20} & -1.276782 x_{21} & -14.605681 x_{6} & + 2.642204 x_{7} & + 9.986859 x_{8} & -17.405916 x_{9} & + 0.030741 x_{30} & + 1.555666 x_{25} & + 0.631079 x_{28}\\
 x_{16}   &  9.27258137731 & -3.89801 x_{1} & -0.328994 x_{15} & -0.75114 x_{14} & + 1.050639 x_{20} & + 0.842594 x_{21} & + 14.94719 x_{6} & -9.276527 x_{7} & + 1.78849 x_{8} & + 6.632531 x_{9} & -0.099657 x_{30} & -0.344386 x_{25} & -0.207646 x_{28}\\
 x_{17}   &  25.3657399284 & -9.812975 x_{1} & -0.420871 x_{15} & -0.0973 x_{14} & -1.881835 x_{20} & -1.340095 x_{21} & -11.652365 x_{6} & -21.336094 x_{7} & -6.03427 x_{8} & -3.638939 x_{9} & -0.339047 x_{30} & + 0.623335 x_{25} & -0.630701 x_{28}\\
 x_{18}   &  30.119236829 & -26.666325 x_{1} & -0.347022 x_{15} & + 1.873449 x_{14} & -4.5492 x_{20} & -4.391427 x_{21} & -53.959516 x_{6} & -3.280287 x_{7} & + 16.736345 x_{8} & -29.997509 x_{9} & -0.268282 x_{30} & + 1.790443 x_{25} & + 0.41761 x_{28}\\
 x_{19}   &  10.0287855959 & + 1.68501 x_{1} & -0.422829 x_{15} & + 0.311279 x_{14} & -0.7563 x_{20} & + 0.532288 x_{21} & -0.030791 x_{6} & -1.455652 x_{7} & -14.697989 x_{8} & -5.167334 x_{9} & -0.06824 x_{30} & -0.161051 x_{25} & -0.194324 x_{28}\\
 x_{4}   &  1.99315237394 & -1.507026 x_{1} & -0.075873 x_{15} & + 0.117933 x_{14} & -0.314791 x_{20} & -0.217293 x_{21} & -3.145441 x_{6} & -1.041384 x_{7} & -0.306279 x_{8} & -2.585872 x_{9} & -0.013235 x_{30} & + 0.157845 x_{25} & -0.023445 x_{28}\\
 x_{22}   &  0.769076128287 & + 9.492247 x_{1} & + 0.459171 x_{15} & + 0.928469 x_{14} & -0.224424 x_{20} & -0.879142 x_{21} & -4.324654 x_{6} & + 0.371319 x_{7} & + 9.664278 x_{8} & + 0.296231 x_{9} & -0.185439 x_{30} & + 0.267314 x_{25} & + 0.383889 x_{28}\\
 x_{5}   &  0.0913981139181 & + 0.393156 x_{1} & -0.044953 x_{15} & -0.06635 x_{14} & + 0.063516 x_{20} & + 0.00661 x_{21} & + 0.57483 x_{6} & -0.466698 x_{7} & -0.239537 x_{8} & + 0.120057 x_{9} & + 0.016433 x_{30} & + 0.068733 x_{25} & -0.003544 x_{28}\\
 x_{23}   &  13.3644193394 & + 7.954188 x_{1} & -0.97088 x_{15} & -0.782238 x_{14} & + 0.048093 x_{20} & + 0.488425 x_{21} & + 1.153979 x_{6} & -14.721621 x_{7} & -5.222958 x_{8} & -8.058382 x_{9} & -0.136283 x_{30} & + 0.636359 x_{25} & + 0.079286 x_{28}\\
 x_{24}   &  0.623634311159 & -2.063257 x_{1} & -0.544496 x_{15} & -1.222384 x_{14} & + 2.068242 x_{20} & + 1.95859 x_{21} & + 23.624671 x_{6} & + 8.036431 x_{7} & + 0.554424 x_{8} & + 19.848314 x_{9} & -0.159836 x_{30} & -1.505926 x_{25} & + 0.410221 x_{28}\\
 x_{11}   &  1.03303331264 & -2.241028 x_{1} & + 0.025173 x_{15} & + 0.093538 x_{14} & -0.314652 x_{20} & -0.273063 x_{21} & -3.36615 x_{6} & -0.252859 x_{7} & + 0.665067 x_{8} & -2.021612 x_{9} & + 0.006998 x_{30} & + 0.048137 x_{25} & + 0.014786 x_{28}\\
 x_{26}   &  8.05815553864 & + 7.945568 x_{1} & -0.145311 x_{15} & -1.04243 x_{14} & + 1.901753 x_{20} & + 0.915201 x_{21} & + 18.527411 x_{6} & -10.776357 x_{7} & -1.453412 x_{8} & + 4.774829 x_{9} & -0.471736 x_{30} & + 0.398015 x_{25} & -0.118948 x_{28}\\
 x_{27}   &  16.3213360276 & -7.796053 x_{1} & -0.572881 x_{15} & + 0.037347 x_{14} & -1.094457 x_{20} & -0.401724 x_{21} & -5.850022 x_{6} & -6.318472 x_{7} & -2.728864 x_{8} & -11.654136 x_{9} & -0.363203 x_{30} & + 1.017294 x_{25} & + 0.126143 x_{28}\\
 x_{12}   &  0.658517627085 & -0.384899 x_{1} & + 0.019751 x_{15} & + 0.112158 x_{14} & -0.135594 x_{20} & -0.156618 x_{21} & -1.710443 x_{6} & -0.186007 x_{7} & + 0.344654 x_{8} & -1.198391 x_{9} & + 0.037843 x_{30} & + 0.085939 x_{25} & -0.045538 x_{28}\\
 x_{29}   &  11.7158756215 & -14.89539 x_{1} & + 0.03489 x_{15} & + 1.144648 x_{14} & -3.016267 x_{20} & -1.850279 x_{21} & -25.662143 x_{6} & + 4.766881 x_{7} & -2.267909 x_{8} & -22.413638 x_{9} & + 0.116867 x_{30} & -0.470446 x_{25} & + 0.033206 x_{28}\\
 x_{10}   &  1.0975837267 & -0.519204 x_{1} & -0.012218 x_{15} & -0.004863 x_{14} & -0.02127 x_{20} & -0.06589 x_{21} & -0.391679 x_{6} & -0.368794 x_{7} & + 0.421084 x_{8} & + 0.183592 x_{9} & -0.044326 x_{30} & + 0.00169 x_{25} & -0.031349 x_{28}\\
 x_{31}   &  27.9918322252 & -29.142083 x_{1} & -0.761583 x_{15} & + 1.877967 x_{14} & -4.69874 x_{20} & -4.430849 x_{21} & -60.212529 x_{6} & -1.199739 x_{7} & + 0.690455 x_{8} & -50.144419 x_{9} & + 0.387122 x_{30} & + 2.923878 x_{25} & + 0.466478 x_{28}\\
\hline
z    &  6.89192521296 & -10.475435 x_{1} & -0.116261 x_{15} & + 0.492687 x_{14} & -1.73977 x_{20} & -0.791234 x_{21} & -16.770639 x_{6} & -3.740268 x_{7} & + 1.760688 x_{8} & -15.747091 x_{9} & -0.163082 x_{30} & + 0.600973 x_{25} & + 0.035575 x_{28}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.349657745484 & + 1.300975 x_{1} & + 0.049939 x_{15} & -0.070508 x_{14} & + 0.140623 x_{20} & + 0.177059 x_{21} & + 2.210333 x_{6} & -1.205632 x_{7} & -1.819185 x_{2} & + 0.946652 x_{9} & -0.001874 x_{30} & + 0.005019 x_{25} & -0.150078 x_{28}\\
 x_{3}   &  0.996122941926 & + 1.323755 x_{1} & + 0.03736 x_{15} & -0.036446 x_{14} & + 0.085231 x_{20} & + 0.071668 x_{21} & + 1.274373 x_{6} & -1.32767 x_{7} & -1.524773 x_{2} & + 0.0391 x_{9} & -0.045794 x_{30} & + 0.122529 x_{25} & -0.119277 x_{28}\\
 x_{13}   &  5.93631127127 & + 12.913288 x_{1} & + 0.05975 x_{15} & + 0.311043 x_{14} & -0.014974 x_{20} & + 0.491477 x_{21} & + 7.468605 x_{6} & -9.398276 x_{7} & -18.167946 x_{2} & -7.951835 x_{9} & + 0.012025 x_{30} & + 1.605795 x_{25} & -0.867733 x_{28}\\
 x_{16}   &  9.89794088987 & -1.571228 x_{1} & -0.239678 x_{15} & -0.877243 x_{14} & + 1.302141 x_{20} & + 1.159262 x_{21} & + 18.90035 x_{6} & -11.432788 x_{7} & -3.253595 x_{2} & + 8.325609 x_{9} & -0.103009 x_{30} & -0.335409 x_{25} & -0.476059 x_{28}\\
 x_{17}   &  23.2558106535 & -17.663412 x_{1} & -0.722219 x_{15} & + 0.328165 x_{14} & -2.73039 x_{20} & -2.408515 x_{21} & -24.990113 x_{6} & -14.060983 x_{7} & + 10.977454 x_{2} & -9.351294 x_{9} & -0.327738 x_{30} & + 0.593047 x_{25} & + 0.274913 x_{28}\\
 x_{18}   &  35.9712293716 & -4.892752 x_{1} & + 0.48878 x_{15} & + 0.693401 x_{14} & -2.195691 x_{20} & -1.428113 x_{21} & -16.966618 x_{6} & -23.458165 x_{7} & -30.446509 x_{2} & -14.154014 x_{9} & -0.299648 x_{30} & + 1.87445 x_{25} & -2.094153 x_{28}\\
 x_{19}   &  4.88951981882 & -17.436712 x_{1} & -1.156837 x_{15} & + 1.347606 x_{14} & -2.82317 x_{20} & -2.070118 x_{21} & -32.518244 x_{6} & + 16.264718 x_{7} & + 26.738363 x_{2} & -19.081216 x_{9} & -0.040694 x_{30} & -0.234827 x_{25} & + 2.011526 x_{28}\\
 x_{4}   &  1.8860594536 & -1.905488 x_{1} & -0.091168 x_{15} & + 0.139528 x_{14} & -0.357861 x_{20} & -0.271522 x_{21} & -3.822421 x_{6} & -0.672124 x_{7} & + 0.557179 x_{2} & -2.875812 x_{9} & -0.012661 x_{30} & + 0.156308 x_{25} & + 0.022521 x_{28}\\
 x_{22}   &  4.14826566002 & + 22.065234 x_{1} & + 0.941798 x_{15} & + 0.24706 x_{14} & + 1.134592 x_{20} & + 0.832001 x_{21} & + 17.03662 x_{6} & -11.280246 x_{7} & -17.58111 x_{2} & + 9.44494 x_{9} & -0.203552 x_{30} & + 0.315823 x_{25} & -1.06651 x_{28}\\
 x_{5}   &  0.0076419971809 & + 0.081523 x_{1} & -0.056916 x_{15} & -0.049461 x_{14} & + 0.029832 x_{20} & -0.035802 x_{21} & + 0.045373 x_{6} & -0.177903 x_{7} & + 0.435763 x_{2} & -0.106702 x_{9} & + 0.016882 x_{30} & + 0.067531 x_{25} & + 0.032405 x_{28}\\
 x_{23}   &  11.5381715828 & + 1.159248 x_{1} & -1.231711 x_{15} & -0.413978 x_{14} & -0.686373 x_{20} & -0.436345 x_{21} & -10.390499 x_{6} & -8.424654 x_{7} & + 9.501528 x_{2} & -13.002706 x_{9} & -0.126495 x_{30} & + 0.610143 x_{25} & + 0.863139 x_{28}\\
 x_{24}   &  0.817492872056 & -1.341966 x_{1} & -0.516808 x_{15} & -1.261475 x_{14} & + 2.146207 x_{20} & + 2.056755 x_{21} & + 24.850132 x_{6} & + 7.368 x_{7} & -1.008599 x_{2} & + 20.373161 x_{9} & -0.160876 x_{30} & -1.503143 x_{25} & + 0.327014 x_{28}\\
 x_{11}   &  1.26557926054 & -1.375791 x_{1} & + 0.058386 x_{15} & + 0.046646 x_{14} & -0.221128 x_{20} & -0.155307 x_{21} & -1.896129 x_{6} & -1.054686 x_{7} & -1.209881 x_{2} & -1.392025 x_{9} & + 0.005751 x_{30} & + 0.051475 x_{25} & -0.085026 x_{28}\\
 x_{26}   &  7.5499588909 & + 6.054715 x_{1} & -0.217893 x_{15} & -0.939953 x_{14} & + 1.69737 x_{20} & + 0.657862 x_{21} & + 15.314887 x_{6} & -9.024077 x_{7} & + 2.644025 x_{2} & + 3.398954 x_{9} & -0.469013 x_{30} & + 0.39072 x_{25} & + 0.099178 x_{28}\\
 x_{27}   &  15.3671676456 & -11.346238 x_{1} & -0.709158 x_{15} & + 0.229754 x_{14} & -1.478197 x_{20} & -0.884893 x_{21} & -11.881721 x_{6} & -3.028466 x_{7} & + 4.964308 x_{2} & -14.237421 x_{9} & -0.358088 x_{30} & + 1.003597 x_{25} & + 0.535687 x_{28}\\
 x_{12}   &  0.779028644739 & + 0.063487 x_{1} & + 0.036963 x_{15} & + 0.087857 x_{14} & -0.087128 x_{20} & -0.095594 x_{21} & -0.948642 x_{6} & -0.601533 x_{7} & -0.62699 x_{2} & -0.872123 x_{9} & + 0.037198 x_{30} & + 0.087669 x_{25} & -0.097263 x_{28}\\
 x_{29}   &  10.9228836091 & -17.845884 x_{1} & -0.078368 x_{15} & + 1.304554 x_{14} & -3.335186 x_{20} & -2.251832 x_{21} & -30.674978 x_{6} & + 7.501145 x_{7} & + 4.125747 x_{2} & -24.560559 x_{9} & + 0.121117 x_{30} & -0.48183 x_{25} & + 0.37357 x_{28}\\
 x_{10}   &  1.24481909734 & + 0.028616 x_{1} & + 0.008811 x_{15} & -0.034552 x_{14} & + 0.037944 x_{20} & + 0.008666 x_{21} & + 0.539058 x_{6} & -0.876467 x_{7} & -0.76603 x_{2} & + 0.582213 x_{9} & -0.045116 x_{30} & + 0.003803 x_{25} & -0.094545 x_{28}\\
 x_{31}   &  28.233255073 & -28.243818 x_{1} & -0.727102 x_{15} & + 1.829285 x_{14} & -4.601647 x_{20} & -4.308598 x_{21} & -58.686394 x_{6} & -2.032173 x_{7} & -1.256065 x_{2} & -49.490798 x_{9} & + 0.385828 x_{30} & + 2.927343 x_{25} & + 0.362855 x_{28}\\
\hline
z    &  7.50756330831 & -8.184824 x_{1} & -0.028333 x_{15} & + 0.368545 x_{14} & -1.492177 x_{20} & -0.479489 x_{21} & -12.878932 x_{6} & -5.86301 x_{7} & -3.203017 x_{2} & -14.080333 x_{9} & -0.166381 x_{30} & + 0.60981 x_{25} & -0.228666 x_{28}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.338763833703 & + 1.184761 x_{1} & + 0.131074 x_{15} & + 1.425532 x_{5} & + 0.098097 x_{20} & + 0.228096 x_{21} & + 2.145653 x_{6} & -0.952025 x_{7} & -2.440379 x_{2} & + 1.098759 x_{9} & -0.02594 x_{30} & -0.091248 x_{25} & -0.196273 x_{28}\\
 x_{3}   &  0.990491801601 & + 1.263684 x_{1} & + 0.079299 x_{15} & + 0.736868 x_{5} & + 0.063249 x_{20} & + 0.098049 x_{21} & + 1.240939 x_{6} & -1.196579 x_{7} & -1.845873 x_{2} & + 0.117725 x_{9} & -0.058234 x_{30} & + 0.072768 x_{25} & -0.143155 x_{28}\\
 x_{13}   &  5.98436921569 & + 13.425961 x_{1} & -0.298173 x_{15} & -6.288663 x_{5} & + 0.172627 x_{20} & + 0.266329 x_{21} & + 7.753938 x_{6} & -10.517051 x_{7} & -15.42758 x_{2} & -8.622848 x_{9} & + 0.118192 x_{30} & + 2.030474 x_{25} & -0.663946 x_{28}\\
 x_{16}   &  9.76240172573 & -3.017134 x_{1} & + 0.769783 x_{15} & + 17.736092 x_{5} & + 0.773044 x_{20} & + 1.794254 x_{21} & + 18.095617 x_{6} & -8.277476 x_{7} & -10.982326 x_{2} & + 10.218087 x_{9} & -0.402435 x_{30} & -1.533145 x_{25} & -1.050805 x_{28}\\
 x_{17}   &  23.3065140567 & -17.122518 x_{1} & -1.099845 x_{15} & -6.634837 x_{5} & -2.532462 x_{20} & -2.646057 x_{21} & -24.689073 x_{6} & -15.241344 x_{7} & + 13.86867 x_{2} & -10.059245 x_{9} & -0.215726 x_{30} & + 1.041104 x_{25} & + 0.489917 x_{28}\\
 x_{18}   &  36.0783639921 & -3.749861 x_{1} & -0.309132 x_{15} & -14.019191 x_{5} & -1.777476 x_{20} & -1.930031 x_{21} & -16.330531 x_{6} & -25.952228 x_{7} & -24.337465 x_{2} & -15.64989 x_{9} & -0.062972 x_{30} & + 2.82118 x_{25} & -1.639855 x_{28}\\
 x_{19}   &  5.09773285975 & -15.215536 x_{1} & -2.707554 x_{15} & -27.245893 x_{5} & -2.01038 x_{20} & -3.045582 x_{21} & -31.282028 x_{6} & + 11.417579 x_{7} & + 38.611113 x_{2} & -21.988409 x_{9} & + 0.41928 x_{30} & + 1.605116 x_{25} & + 2.894441 x_{28}\\
 x_{4}   &  1.90761742888 & -1.675512 x_{1} & -0.251727 x_{15} & -2.820987 x_{5} & -0.273706 x_{20} & -0.37252 x_{21} & -3.694425 x_{6} & -1.173987 x_{7} & + 1.78646 x_{2} & -3.176817 x_{9} & + 0.034963 x_{30} & + 0.346812 x_{25} & + 0.113936 x_{28}\\
 x_{22}   &  4.18643788624 & + 22.472448 x_{1} & + 0.657501 x_{15} & -4.995059 x_{5} & + 1.283603 x_{20} & + 0.653167 x_{21} & + 17.263259 x_{6} & -12.168885 x_{7} & -15.404448 x_{2} & + 8.911957 x_{9} & -0.119223 x_{30} & + 0.653144 x_{25} & -0.904643 x_{28}\\
 x_{14}   &  0.154505911139 & + 1.648239 x_{1} & -1.15072 x_{15} & -20.218002 x_{5} & + 0.603136 x_{20} & -0.72385 x_{21} & + 0.917343 x_{6} & -3.596853 x_{7} & + 8.810255 x_{2} & -2.157303 x_{9} & + 0.341327 x_{30} & + 1.365342 x_{25} & + 0.655173 x_{28}\\
 x_{23}   &  11.4742095951 & + 0.476913 x_{1} & -0.755339 x_{15} & + 8.3698 x_{5} & -0.936058 x_{20} & -0.136688 x_{21} & -10.770258 x_{6} & -6.935638 x_{7} & + 5.854279 x_{2} & -12.109631 x_{9} & -0.267796 x_{30} & + 0.044922 x_{25} & + 0.591912 x_{28}\\
 x_{24}   &  0.622587522331 & -3.421179 x_{1} & + 0.934797 x_{15} & + 25.504504 x_{5} & + 1.385366 x_{20} & + 2.969874 x_{21} & + 23.692927 x_{6} & + 11.90534 x_{7} & -12.122517 x_{2} & + 23.094544 x_{9} & -0.59145 x_{30} & -3.225488 x_{25} & -0.499471 x_{28}\\
 x_{11}   &  1.27278632569 & -1.298908 x_{1} & + 0.00471 x_{15} & -0.943087 x_{5} & -0.192994 x_{20} & -0.189072 x_{21} & -1.853339 x_{6} & -1.222464 x_{7} & -0.798918 x_{2} & -1.492654 x_{9} & + 0.021673 x_{30} & + 0.115163 x_{25} & -0.054465 x_{28}\\
 x_{26}   &  7.40473060575 & + 4.505448 x_{1} & + 0.86373 x_{15} & + 19.00397 x_{5} & + 1.130451 x_{20} & + 1.338247 x_{21} & + 14.452628 x_{6} & -5.643205 x_{7} & -5.637201 x_{2} & + 5.426717 x_{9} & -0.789843 x_{30} & -0.892637 x_{25} & -0.516654 x_{28}\\
 x_{27}   &  15.4026659782 & -10.967549 x_{1} & -0.973541 x_{15} & -4.645164 x_{5} & -1.339624 x_{20} & -1.0512 x_{21} & -11.670958 x_{6} & -3.854856 x_{7} & + 6.988499 x_{2} & -14.73307 x_{9} & -0.279667 x_{30} & + 1.317289 x_{25} & + 0.686215 x_{28}\\
 x_{12}   &  0.792603130757 & + 0.208297 x_{1} & -0.064136 x_{15} & -1.776301 x_{5} & -0.034138 x_{20} & -0.159189 x_{21} & -0.868047 x_{6} & -0.917543 x_{7} & + 0.147056 x_{2} & -1.061658 x_{9} & + 0.067186 x_{30} & + 0.207624 x_{25} & -0.039701 x_{28}\\
 x_{29}   &  11.1244449158 & -15.695667 x_{1} & -1.579545 x_{15} & -26.375475 x_{5} & -2.548363 x_{20} & -3.196133 x_{21} & -29.478255 x_{6} & + 2.808857 x_{7} & + 15.619201 x_{2} & -27.374877 x_{9} & + 0.566396 x_{30} & + 1.299332 x_{25} & + 1.228279 x_{28}\\
 x_{10}   &  1.23948054489 & -0.028334 x_{1} & + 0.048571 x_{15} & + 0.698581 x_{5} & + 0.017105 x_{20} & + 0.033677 x_{21} & + 0.507362 x_{6} & -0.752187 x_{7} & -1.070446 x_{2} & + 0.656753 x_{9} & -0.056909 x_{30} & -0.043373 x_{25} & -0.117183 x_{28}\\
 x_{31}   &  28.5158903613 & -25.228719 x_{1} & -2.832097 x_{15} & -36.98448 x_{5} & -3.498339 x_{20} & -5.632725 x_{21} & -57.008313 x_{6} & -8.61184 x_{7} & + 14.8604 x_{2} & -53.437119 x_{9} & + 1.010211 x_{30} & + 5.424942 x_{25} & + 1.561354 x_{28}\\
\hline
z    &  7.56450562547 & -7.577374 x_{1} & -0.452425 x_{15} & -7.451235 x_{5} & -1.269895 x_{20} & -0.74626 x_{21} & -12.54085 x_{6} & -7.188611 x_{7} & + 0.043955 x_{2} & -14.875395 x_{9} & -0.040587 x_{30} & + 1.113 x_{25} & + 0.012794 x_{28}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{24} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.213430982382 & + 1.873477 x_{1} & -0.057109 x_{15} & -3.70877 x_{5} & -0.180791 x_{20} & -0.369768 x_{21} & -2.623961 x_{6} & -3.348685 x_{7} & + 0.20131 x_{24} & -3.550394 x_{9} & + 0.093124 x_{30} & + 0.558073 x_{25} & -0.095725 x_{28}\\
 x_{3}   &  0.895691580863 & + 1.78462 x_{1} & -0.06304 x_{15} & -3.146655 x_{5} & -0.147698 x_{20} & -0.354168 x_{21} & -2.366738 x_{6} & -3.009382 x_{7} & + 0.152268 x_{24} & -3.398837 x_{9} & + 0.031825 x_{30} & + 0.563907 x_{25} & -0.067102 x_{28}\\
 x_{13}   &  5.19204045954 & + 17.779884 x_{1} & -1.487831 x_{15} & -38.746673 x_{5} & -1.590442 x_{20} & -3.513246 x_{21} & -22.39859 x_{6} & -25.668243 x_{7} & + 1.272638 x_{24} & -38.013851 x_{9} & + 0.870894 x_{30} & + 6.135354 x_{25} & -0.0283 x_{28}\\
 x_{16}   &  9.19837203982 & + 0.082264 x_{1} & -0.077091 x_{15} & -5.369571 x_{5} & -0.48202 x_{20} & -0.896287 x_{21} & -3.368858 x_{6} & -19.063052 x_{7} & + 0.905944 x_{24} & -10.704287 x_{9} & + 0.133387 x_{30} & + 1.388967 x_{25} & -0.598312 x_{28}\\
 x_{17}   &  24.0187804251 & -21.03649 x_{1} & -0.030398 x_{15} & + 22.543391 x_{5} & -0.947545 x_{20} & + 0.751604 x_{21} & + 2.416634 x_{6} & -1.621133 x_{7} & -1.144042 x_{24} & + 16.361888 x_{9} & -0.89237 x_{30} & -2.64899 x_{25} & -0.081498 x_{28}\\
 x_{18}   &  34.8284418392 & + 3.118582 x_{1} & -2.185852 x_{15} & -65.222667 x_{5} & -4.55877 x_{20} & -7.892423 x_{21} & -63.89704 x_{6} & -49.853683 x_{7} & + 2.007625 x_{24} & -62.015071 x_{9} & + 1.124438 x_{30} & + 9.296749 x_{25} & -0.637105 x_{28}\\
 x_{19}   &  7.08072021315 & -26.112243 x_{1} & + 0.269842 x_{15} & + 53.987841 x_{5} & + 2.402112 x_{20} & + 6.413686 x_{21} & + 44.1817 x_{6} & + 49.336968 x_{7} & -3.185074 x_{24} & + 51.569425 x_{9} & -1.464534 x_{30} & -8.668302 x_{25} & + 1.303589 x_{28}\\
 x_{4}   &  1.99936635313 & -2.179681 x_{1} & -0.113968 x_{15} & + 0.937538 x_{5} & -0.069549 x_{20} & + 0.065142 x_{21} & -0.202867 x_{6} & + 0.580468 x_{7} & -0.147367 x_{24} & + 0.226559 x_{9} & -0.052197 x_{30} & -0.128519 x_{25} & + 0.040331 x_{28}\\
 x_{22}   &  3.39529709759 & + 26.819843 x_{1} & -0.530373 x_{15} & -37.404404 x_{5} & -0.476823 x_{20} & -3.120741 x_{21} & -12.84406 x_{6} & -27.29736 x_{7} & + 1.27073 x_{24} & -20.434979 x_{9} & + 0.632351 x_{30} & + 4.751869 x_{25} & -0.26995 x_{28}\\
 x_{14}   &  0.606982506878 & -0.838163 x_{1} & -0.47134 x_{15} & -1.682148 x_{5} & + 1.609975 x_{20} & + 1.434559 x_{21} & + 18.136601 x_{6} & + 5.055566 x_{7} & -0.726768 x_{24} & + 14.62707 x_{9} & -0.088521 x_{30} & -0.978839 x_{25} & + 0.292174 x_{28}\\
 x_{23}   &  11.7748733297 & -1.175263 x_{1} & -0.303901 x_{15} & + 20.68659 x_{5} & -0.267029 x_{20} & + 1.297542 x_{21} & + 0.671674 x_{6} & -1.186239 x_{7} & -0.482926 x_{24} & -0.956674 x_{9} & -0.553423 x_{30} & -1.51275 x_{25} & + 0.350704 x_{28}\\
 x_{2}   &  0.0513579432279 & -0.282217 x_{1} & + 0.077112 x_{15} & + 2.103895 x_{5} & + 0.11428 x_{20} & + 0.244988 x_{21} & + 1.954456 x_{6} & + 0.982085 x_{7} & -0.082491 x_{24} & + 1.905095 x_{9} & -0.048789 x_{30} & -0.266074 x_{25} & -0.041202 x_{28}\\
 x_{11}   &  1.23175551818 & -1.07344 x_{1} & -0.056897 x_{15} & -2.623927 x_{5} & -0.284295 x_{20} & -0.384797 x_{21} & -3.41479 x_{6} & -2.00707 x_{7} & + 0.065904 x_{24} & -3.01467 x_{9} & + 0.060651 x_{30} & + 0.327734 x_{25} & -0.021548 x_{28}\\
 x_{26}   &  7.11521557857 & + 6.096361 x_{1} & + 0.429031 x_{15} & + 7.143891 x_{5} & + 0.486229 x_{20} & -0.042801 x_{21} & + 3.434967 x_{6} & -11.179414 x_{7} & + 0.465019 x_{24} & -5.312685 x_{9} & -0.514808 x_{30} & + 0.607276 x_{25} & -0.284391 x_{28}\\
 x_{27}   &  15.761580904 & -12.939821 x_{1} & -0.434641 x_{15} & + 10.057905 x_{5} & -0.540976 x_{20} & + 0.660899 x_{21} & + 1.987757 x_{6} & + 3.008442 x_{7} & -0.576489 x_{24} & -1.419316 x_{9} & -0.620632 x_{30} & -0.542169 x_{25} & + 0.398276 x_{28}\\
 x_{12}   &  0.800155635553 & + 0.166795 x_{1} & -0.052796 x_{15} & -1.46691 x_{5} & -0.017332 x_{20} & -0.123162 x_{21} & -0.580632 x_{6} & -0.773121 x_{7} & -0.012131 x_{24} & -0.781502 x_{9} & + 0.060011 x_{30} & + 0.168496 x_{25} & -0.04576 x_{28}\\
 x_{29}   &  11.9266149352 & -20.103669 x_{1} & -0.37511 x_{15} & + 6.485686 x_{5} & -0.763395 x_{20} & + 0.630387 x_{21} & + 1.048788 x_{6} & + 18.148237 x_{7} & -1.288445 x_{24} & + 2.381182 x_{9} & -0.195655 x_{30} & -2.856533 x_{25} & + 0.584738 x_{28}\\
 x_{10}   &  1.18450464998 & + 0.273764 x_{1} & -0.033974 x_{15} & -1.553525 x_{5} & -0.105226 x_{20} & -0.228569 x_{21} & -1.584778 x_{6} & -1.803456 x_{7} & + 0.088302 x_{24} & -1.382548 x_{9} & -0.004683 x_{30} & + 0.241445 x_{25} & -0.073078 x_{28}\\
 x_{31}   &  29.2790899291 & -29.422574 x_{1} & -1.686176 x_{15} & -5.719756 x_{5} & -1.800087 x_{20} & -1.992102 x_{21} & -27.964313 x_{6} & + 5.982333 x_{7} & -1.225851 x_{24} & -25.126648 x_{9} & + 0.285181 x_{30} & + 1.470975 x_{25} & + 0.949077 x_{28}\\
\hline
z    &  7.56676306784 & -7.589779 x_{1} & -0.449035 x_{15} & -7.358758 x_{5} & -1.264871 x_{20} & -0.735492 x_{21} & -12.454942 x_{6} & -7.145443 x_{7} & -0.003626 x_{24} & -14.791656 x_{9} & -0.042732 x_{30} & + 1.101304 x_{25} & + 0.010983 x_{28}\\
\end{array}\]


 $ x_{25} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.321150998724 & + 1.281545 x_{1} & + 0.104629 x_{15} & + 0.704016 x_{5} & + 0.058905 x_{20} & + 0.144079 x_{21} & + 1.475387 x_{6} & -1.288824 x_{7} & + 0.02829 x_{24} & + 0.445421 x_{9} & -0.009208 x_{30} & -2.097436 x_{2} & -0.182143 x_{28}\\
 x_{3}   &  1.00453749955 & + 1.186501 x_{1} & + 0.100388 x_{15} & + 1.312254 x_{5} & + 0.094503 x_{20} & + 0.16505 x_{21} & + 1.775456 x_{6} & -0.927992 x_{7} & -0.02256 x_{24} & + 0.638743 x_{9} & -0.071578 x_{30} & -2.119359 x_{2} & -0.154423 x_{28}\\
 x_{13}   &  6.37629379463 & + 11.272297 x_{1} & + 0.29029 x_{15} & + 9.766657 x_{5} & + 1.044728 x_{20} & + 2.135892 x_{21} & + 22.668854 x_{6} & -3.02253 x_{7} & -0.629509 x_{24} & + 5.91538 x_{9} & -0.254132 x_{30} & -23.058815 x_{2} & -0.978367 x_{28}\\
 x_{16}   &  9.46647221353 & -1.390973 x_{1} & + 0.325454 x_{15} & + 5.613241 x_{5} & + 0.114549 x_{20} & + 0.382607 x_{21} & + 6.833849 x_{6} & -13.936345 x_{7} & + 0.475322 x_{24} & -0.759257 x_{9} & -0.121305 x_{30} & -5.220228 x_{2} & -0.813396 x_{28}\\
 x_{17}   &  23.5074691426 & -18.226785 x_{1} & -0.798117 x_{15} & + 1.597355 x_{5} & -2.085302 x_{20} & -1.687459 x_{21} & -17.041612 x_{6} & -11.398609 x_{7} & -0.322774 x_{24} & -2.604925 x_{9} & -0.406631 x_{30} & + 9.955836 x_{2} & + 0.328701 x_{28}\\
 x_{18}   &  36.6229114707 & -6.742202 x_{1} & + 0.50849 x_{15} & + 8.288377 x_{5} & -0.565763 x_{20} & + 0.667575 x_{21} & + 4.392537 x_{6} & -15.539197 x_{7} & -0.874652 x_{24} & + 4.549801 x_{9} & -0.580285 x_{30} & -34.94045 x_{2} & -2.076718 x_{28}\\
 x_{19}   &  5.40755419914 & -16.918034 x_{1} & -2.242367 x_{15} & -14.55396 x_{5} & -1.320974 x_{20} & -1.567668 x_{21} & -19.491598 x_{6} & + 17.342093 x_{7} & -0.497635 x_{24} & -10.495755 x_{9} & + 0.124953 x_{30} & + 32.578525 x_{2} & + 2.645887 x_{28}\\
 x_{4}   &  1.97455954001 & -2.043365 x_{1} & -0.151215 x_{15} & -0.078681 x_{5} & -0.124749 x_{20} & -0.053192 x_{21} & -1.146904 x_{6} & + 0.106103 x_{7} & -0.107522 x_{24} & -0.693636 x_{9} & -0.028631 x_{30} & + 0.483018 x_{2} & + 0.060232 x_{28}\\
 x_{22}   &  4.31250862361 & + 21.779677 x_{1} & + 0.846793 x_{15} & + 0.169471 x_{5} & + 1.564133 x_{20} & + 1.254551 x_{21} & + 22.060954 x_{6} & -9.758115 x_{7} & -0.202495 x_{24} & + 13.588482 x_{9} & -0.238989 x_{30} & -17.859195 x_{2} & -1.005783 x_{28}\\
 x_{14}   &  0.418045816161 & + 0.200062 x_{1} & -0.755023 x_{15} & -9.422002 x_{5} & + 1.189558 x_{20} & + 0.533291 x_{21} & + 10.946506 x_{6} & + 1.442651 x_{7} & -0.423298 x_{24} & + 7.618566 x_{9} & + 0.090967 x_{30} & + 3.678821 x_{2} & + 0.443748 x_{28}\\
 x_{23}   &  11.4828805005 & + 0.429266 x_{1} & -0.74232 x_{15} & + 8.725006 x_{5} & -0.916764 x_{20} & -0.095326 x_{21} & -10.440282 x_{6} & -6.76983 x_{7} & -0.013927 x_{24} & -11.787989 x_{9} & -0.276034 x_{30} & + 5.685446 x_{2} & + 0.584955 x_{28}\\
 x_{25}   &  0.193021203431 & -1.06067 x_{1} & + 0.289816 x_{15} & + 7.907178 x_{5} & + 0.429506 x_{20} & + 0.920752 x_{21} & + 7.345533 x_{6} & + 3.69102 x_{7} & -0.310031 x_{24} & + 7.160016 x_{9} & -0.183368 x_{30} & -3.758352 x_{2} & -0.154851 x_{28}\\
 x_{11}   &  1.29501522281 & -1.421058 x_{1} & + 0.038086 x_{15} & -0.032472 x_{5} & -0.143531 x_{20} & -0.083035 x_{21} & -1.007406 x_{6} & -0.797395 x_{7} & -0.035704 x_{24} & -0.668085 x_{9} & + 0.000555 x_{30} & -1.231741 x_{2} & -0.072298 x_{28}\\
 x_{26}   &  7.23243278579 & + 5.452241 x_{1} & + 0.60503 x_{15} & + 11.945733 x_{5} & + 0.747058 x_{20} & + 0.51635 x_{21} & + 7.895735 x_{6} & -8.937945 x_{7} & + 0.276745 x_{24} & -0.964576 x_{9} & -0.626163 x_{30} & -2.282358 x_{2} & -0.378428 x_{28}\\
 x_{27}   &  15.6569307354 & -12.364758 x_{1} & -0.59177 x_{15} & + 5.770876 x_{5} & -0.77384 x_{20} & + 0.161696 x_{21} & -1.994765 x_{6} & + 1.007285 x_{7} & -0.4084 x_{24} & -5.301257 x_{9} & -0.521216 x_{30} & + 2.037663 x_{2} & + 0.482231 x_{28}\\
 x_{12}   &  0.83267896252 & -0.011923 x_{1} & -0.003964 x_{15} & -0.134581 x_{5} & + 0.055038 x_{20} & + 0.031981 x_{21} & + 0.657062 x_{6} & -0.151199 x_{7} & -0.06437 x_{24} & + 0.424933 x_{9} & + 0.029114 x_{30} & -0.633268 x_{2} & -0.071852 x_{28}\\
 x_{29}   &  11.3752435818 & -17.07383 x_{1} & -1.202978 x_{15} & -16.101425 x_{5} & -1.990292 x_{20} & -1.999771 x_{21} & -19.933967 x_{6} & + 7.604718 x_{7} & -0.402833 x_{24} & -18.071638 x_{9} & + 0.328141 x_{30} & + 10.735853 x_{2} & + 1.027076 x_{28}\\
 x_{10}   &  1.23110872377 & + 0.01767 x_{1} & + 0.036001 x_{15} & + 0.355626 x_{5} & -0.001524 x_{20} & -0.006258 x_{21} & + 0.188767 x_{6} & -0.912276 x_{7} & + 0.013447 x_{24} & + 0.346204 x_{9} & -0.048956 x_{30} & -0.907437 x_{2} & -0.110466 x_{28}\\
 x_{31}   &  29.5630191975 & -30.982793 x_{1} & -1.259864 x_{15} & + 5.9115 x_{5} & -1.168295 x_{20} & -0.6377 x_{21} & -17.159221 x_{6} & + 11.411729 x_{7} & -1.681898 x_{24} & -14.594447 x_{9} & + 0.015452 x_{30} & -5.528439 x_{2} & + 0.721295 x_{28}\\
\hline
z    &  7.77933816102 & -8.7579 x_{1} & -0.12986 x_{15} & + 1.349451 x_{5} & -0.791855 x_{20} & + 0.278536 x_{21} & -4.365274 x_{6} & -3.080507 x_{7} & -0.345064 x_{24} & -6.906299 x_{9} & -0.244676 x_{30} & -4.139089 x_{2} & -0.159555 x_{28}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.352387578194 & + 1.296494 x_{1} & + 0.048214 x_{15} & -0.07472 x_{14} & + 0.147789 x_{20} & + 0.183927 x_{21} & + 2.293315 x_{6} & -1.181029 x_{7} & -0.003339 x_{24} & + 1.014684 x_{9} & -0.002411 x_{30} & -1.822553 x_{2} & -0.148986 x_{28}\\
 x_{3}   &  1.06276105115 & + 1.214365 x_{1} & -0.004768 x_{15} & -0.139276 x_{14} & + 0.26018 x_{20} & + 0.239324 x_{21} & + 3.300037 x_{6} & -0.727066 x_{7} & -0.081515 x_{24} & + 1.699823 x_{9} & -0.058908 x_{30} & -1.606989 x_{2} & -0.09262 x_{28}\\
 x_{13}   &  6.80963166229 & + 11.479678 x_{1} & -0.492351 x_{15} & -1.03658 x_{14} & + 2.2778 x_{20} & + 2.688691 x_{21} & + 34.015782 x_{6} & -1.527107 x_{7} & -1.068291 x_{24} & + 13.812632 x_{9} & -0.159837 x_{30} & -19.245424 x_{2} & -0.518387 x_{28}\\
 x_{16}   &  9.71552671789 & -1.271784 x_{1} & -0.124358 x_{15} & -0.595759 x_{14} & + 0.823239 x_{20} & + 0.70032 x_{21} & + 13.355327 x_{6} & -13.076873 x_{7} & + 0.223139 x_{24} & + 3.779571 x_{9} & -0.067111 x_{30} & -3.028538 x_{2} & -0.549029 x_{28}\\
 x_{17}   &  23.5783423599 & -18.192868 x_{1} & -0.926119 x_{15} & -0.169535 x_{14} & -1.883631 x_{20} & -1.597047 x_{21} & -15.185801 x_{6} & -11.15403 x_{7} & -0.394538 x_{24} & -1.313315 x_{9} & -0.391209 x_{30} & + 10.579524 x_{2} & + 0.403932 x_{28}\\
 x_{18}   &  36.990659344 & -6.56621 x_{1} & -0.155691 x_{15} & -0.879683 x_{14} & + 0.480672 x_{20} & + 1.136702 x_{21} & + 14.021994 x_{6} & -14.270122 x_{7} & -1.24702 x_{24} & + 11.251726 x_{9} & -0.500263 x_{30} & -31.704253 x_{2} & -1.68636 x_{28}\\
 x_{19}   &  4.76180800837 & -17.227065 x_{1} & -1.076099 x_{15} & + 1.544678 x_{14} & -3.158458 x_{20} & -2.391432 x_{21} & -36.400426 x_{6} & + 15.113661 x_{7} & + 0.156224 x_{24} & -22.263987 x_{9} & -0.015561 x_{30} & + 26.89593 x_{2} & + 1.960439 x_{28}\\
 x_{4}   &  1.97106852108 & -2.045036 x_{1} & -0.14491 x_{15} & + 0.008351 x_{14} & -0.134682 x_{20} & -0.057645 x_{21} & -1.238317 x_{6} & + 0.094056 x_{7} & -0.103988 x_{24} & -0.757258 x_{9} & -0.029391 x_{30} & + 0.452297 x_{2} & + 0.056526 x_{28}\\
 x_{22}   &  4.32002788416 & + 21.783276 x_{1} & + 0.833213 x_{15} & -0.017987 x_{14} & + 1.585529 x_{20} & + 1.264143 x_{21} & + 22.257845 x_{6} & -9.732167 x_{7} & -0.210109 x_{24} & + 13.725515 x_{9} & -0.237353 x_{30} & -17.793025 x_{2} & -0.997802 x_{28}\\
 x_{5}   &  0.0443691071204 & + 0.021234 x_{1} & -0.080134 x_{15} & -0.106135 x_{14} & + 0.126253 x_{20} & + 0.056601 x_{21} & + 1.161803 x_{6} & + 0.153115 x_{7} & -0.044927 x_{24} & + 0.808593 x_{9} & + 0.009655 x_{30} & + 0.39045 x_{2} & + 0.047097 x_{28}\\
 x_{23}   &  11.870001247 & + 0.614529 x_{1} & -1.441489 x_{15} & -0.926025 x_{14} & + 0.184796 x_{20} & + 0.398515 x_{21} & -0.303547 x_{6} & -5.433899 x_{7} & -0.405911 x_{24} & -4.733008 x_{9} & -0.191796 x_{30} & + 9.092126 x_{2} & + 0.995877 x_{28}\\
 x_{25}   &  0.543855613123 & -0.892773 x_{1} & -0.343818 x_{15} & -0.839225 x_{14} & + 1.427813 x_{20} & + 1.368303 x_{21} & + 16.532112 x_{6} & + 4.901729 x_{7} & -0.665273 x_{24} & + 13.553706 x_{9} & -0.107026 x_{30} & -0.670994 x_{2} & + 0.217553 x_{28}\\
 x_{11}   &  1.29357444873 & -1.421747 x_{1} & + 0.040688 x_{15} & + 0.003446 x_{14} & -0.147631 x_{20} & -0.084873 x_{21} & -1.045132 x_{6} & -0.802367 x_{7} & -0.034245 x_{24} & -0.694342 x_{9} & + 0.000242 x_{30} & -1.24442 x_{2} & -0.073828 x_{28}\\
 x_{26}   &  7.7624542786 & + 5.705891 x_{1} & -0.35223 x_{15} & -1.267855 x_{14} & + 2.255245 x_{20} & + 1.192486 x_{21} & + 21.774318 x_{6} & -7.108873 x_{7} & -0.259935 x_{24} & + 8.694661 x_{9} & -0.51083 x_{30} & + 2.381854 x_{2} & + 0.18418 x_{28}\\
 x_{27}   &  15.9129793403 & -12.242222 x_{1} & -1.054213 x_{15} & -0.612489 x_{14} & -0.045249 x_{20} & + 0.488331 x_{21} & + 4.709853 x_{6} & + 1.890893 x_{7} & -0.667665 x_{24} & -0.634967 x_{9} & -0.465499 x_{30} & + 4.290902 x_{2} & + 0.754022 x_{28}\\
 x_{12}   &  0.826707719032 & -0.014781 x_{1} & + 0.006821 x_{15} & + 0.014284 x_{14} & + 0.038046 x_{20} & + 0.024363 x_{21} & + 0.500706 x_{6} & -0.171805 x_{7} & -0.058324 x_{24} & + 0.316112 x_{9} & + 0.027815 x_{30} & -0.685815 x_{2} & -0.07819 x_{28}\\
 x_{29}   &  10.6608377467 & -17.41572 x_{1} & + 0.087294 x_{15} & + 1.708918 x_{14} & -4.023149 x_{20} & -2.911121 x_{21} & -38.640643 x_{6} & + 5.139346 x_{7} & + 0.320548 x_{24} & -31.091139 x_{9} & + 0.172686 x_{30} & + 4.449051 x_{2} & + 0.268747 x_{28}\\
 x_{10}   &  1.2468875481 & + 0.025221 x_{1} & + 0.007503 x_{15} & -0.037744 x_{14} & + 0.043375 x_{20} & + 0.013871 x_{21} & + 0.601935 x_{6} & -0.857824 x_{7} & -0.00253 x_{24} & + 0.633761 x_{9} & -0.045523 x_{30} & -0.768582 x_{2} & -0.093717 x_{28}\\
 x_{31}   &  29.8253071925 & -30.857271 x_{1} & -1.733577 x_{15} & -0.627414 x_{14} & -0.421949 x_{20} & -0.303105 x_{21} & -10.291225 x_{6} & + 12.316869 x_{7} & -1.947481 x_{24} & -9.814448 x_{9} & + 0.072526 x_{30} & -3.220294 x_{2} & + 0.999709 x_{28}\\
\hline
z    &  7.8392120973 & -8.729246 x_{1} & -0.237997 x_{15} & -0.143223 x_{14} & -0.621482 x_{20} & + 0.354916 x_{21} & -2.797479 x_{6} & -2.873885 x_{7} & -0.40569 x_{24} & -5.815142 x_{9} & -0.231647 x_{30} & -3.612196 x_{2} & -0.096 x_{28}\\
\end{array}\]


 $ x_{21} $ enters and $ x_{19} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.718621549457 & -0.028451 x_{1} & -0.03455 x_{15} & + 0.044082 x_{14} & -0.09513 x_{20} & -0.076911 x_{19} & -0.506267 x_{6} & -0.018626 x_{7} & + 0.008676 x_{24} & -0.697655 x_{9} & -0.003608 x_{30} & + 0.246032 x_{2} & + 0.001792 x_{28}\\
 x_{3}   &  1.53930268279 & -0.509647 x_{1} & -0.112459 x_{15} & + 0.015309 x_{14} & -0.055906 x_{20} & -0.100076 x_{19} & -0.342764 x_{6} & + 0.785445 x_{7} & -0.065881 x_{24} & -0.528263 x_{9} & -0.060465 x_{30} & + 1.084642 x_{2} & + 0.103572 x_{28}\\
 x_{13}   &  12.1633405595 & -7.888741 x_{1} & -1.702212 x_{15} & + 0.700104 x_{14} & -1.27326 x_{20} & -1.124302 x_{19} & -6.909279 x_{6} & + 15.465209 x_{7} & -0.892648 x_{24} & -11.218807 x_{9} & -0.177333 x_{30} & + 10.993717 x_{2} & + 1.685738 x_{28}\\
 x_{16}   &  11.1100015977 & -6.316655 x_{1} & -0.439489 x_{15} & -0.143407 x_{14} & -0.101702 x_{20} & -0.292846 x_{19} & + 2.69562 x_{6} & -8.650903 x_{7} & + 0.268888 x_{24} & -2.740341 x_{9} & -0.071668 x_{30} & + 4.847819 x_{2} & + 0.025077 x_{28}\\
 x_{17}   &  20.3983090445 & -6.688279 x_{1} & -0.207478 x_{15} & -1.201102 x_{14} & + 0.225653 x_{20} & + 0.667821 x_{19} & + 9.123152 x_{6} & -21.247244 x_{7} & -0.498867 x_{24} & + 13.555034 x_{9} & -0.380817 x_{30} & -7.382132 x_{2} & -0.905289 x_{28}\\
 x_{18}   &  39.2540553927 & -14.754628 x_{1} & -0.667185 x_{15} & -0.145462 x_{14} & -1.020616 x_{20} & -0.475323 x_{19} & -3.279959 x_{6} & -7.086253 x_{7} & -1.172763 x_{24} & + 0.669144 x_{9} & -0.50766 x_{30} & -18.920003 x_{2} & -0.754519 x_{28}\\
 x_{21}   &  1.99119539088 & -7.203662 x_{1} & -0.449981 x_{15} & + 0.645922 x_{14} & -1.320739 x_{20} & -0.41816 x_{19} & -15.221185 x_{6} & + 6.319922 x_{7} & + 0.065326 x_{24} & -9.309898 x_{9} & -0.006507 x_{30} & + 11.246789 x_{2} & + 0.819776 x_{28}\\
 x_{4}   &  1.85628562048 & -1.629779 x_{1} & -0.118971 x_{15} & -0.028884 x_{14} & -0.058548 x_{20} & + 0.024105 x_{19} & -0.360888 x_{6} & -0.270257 x_{7} & -0.107753 x_{24} & -0.220586 x_{9} & -0.029015 x_{30} & -0.196027 x_{2} & + 0.00927 x_{28}\\
 x_{22}   &  6.8371838938 & + 12.676816 x_{1} & + 0.264372 x_{15} & + 0.798551 x_{14} & -0.084075 x_{20} & -0.528614 x_{19} & + 3.016088 x_{6} & -1.742881 x_{7} & -0.127527 x_{24} & + 1.95647 x_{9} & -0.245579 x_{30} & -3.575473 x_{2} & + 0.038513 x_{28}\\
 x_{5}   &  0.157072029728 & -0.386498 x_{1} & -0.105603 x_{15} & -0.069575 x_{14} & + 0.051499 x_{20} & -0.023668 x_{19} & + 0.300274 x_{6} & + 0.510827 x_{7} & -0.041229 x_{24} & + 0.281647 x_{9} & + 0.009286 x_{30} & + 1.027025 x_{2} & + 0.093497 x_{28}\\
 x_{23}   &  12.6635232424 & -2.256241 x_{1} & -1.620814 x_{15} & -0.668615 x_{14} & -0.341539 x_{20} & -0.166643 x_{19} & -6.369423 x_{6} & -2.915313 x_{7} & -0.379878 x_{24} & -8.443146 x_{9} & -0.194389 x_{30} & + 13.574144 x_{2} & + 1.322571 x_{28}\\
 x_{25}   &  3.26841436283 & -10.749565 x_{1} & -0.959529 x_{15} & + 0.044592 x_{14} & -0.379359 x_{20} & -0.572169 x_{19} & -4.295082 x_{6} & + 13.549297 x_{7} & -0.575886 x_{24} & + 0.814943 x_{9} & -0.11593 x_{30} & + 14.718023 x_{2} & + 1.339256 x_{28}\\
 x_{11}   &  1.12457569731 & -0.810351 x_{1} & + 0.078879 x_{15} & -0.051375 x_{14} & -0.035536 x_{20} & + 0.03549 x_{19} & + 0.246735 x_{6} & -1.338758 x_{7} & -0.03979 x_{24} & + 0.095817 x_{9} & + 0.000794 x_{30} & -2.198969 x_{2} & -0.143405 x_{28}\\
 x_{26}   &  10.1369263507 & -2.884373 x_{1} & -0.888826 x_{15} & -0.497602 x_{14} & + 0.680282 x_{20} & -0.498649 x_{19} & + 3.623272 x_{6} & + 0.427543 x_{7} & -0.182035 x_{24} & -2.40726 x_{9} & -0.518589 x_{30} & + 15.79349 x_{2} & + 1.161752 x_{28}\\
 x_{27}   &  16.8853424699 & -15.759996 x_{1} & -1.273953 x_{15} & -0.297065 x_{14} & -0.690207 x_{20} & -0.2042 x_{19} & -2.723129 x_{6} & + 4.977109 x_{7} & -0.635764 x_{24} & -5.181282 x_{9} & -0.468677 x_{30} & + 9.783061 x_{2} & + 1.154345 x_{28}\\
 x_{12}   &  0.875220096828 & -0.190287 x_{1} & -0.004142 x_{15} & + 0.030021 x_{14} & + 0.005869 x_{20} & -0.010188 x_{19} & + 0.129865 x_{6} & -0.01783 x_{7} & -0.056732 x_{24} & + 0.089291 x_{9} & + 0.027656 x_{30} & -0.411804 x_{2} & -0.058218 x_{28}\\
 x_{29}   &  4.86422610284 & + 3.555014 x_{1} & + 1.397244 x_{15} & -0.171439 x_{14} & -0.178316 x_{20} & + 1.217313 x_{19} & + 5.670075 x_{6} & -13.258713 x_{7} & + 0.130375 x_{24} & -3.988894 x_{9} & + 0.191629 x_{30} & -28.291719 x_{2} & -2.117721 x_{28}\\
 x_{10}   &  1.27450642603 & -0.074698 x_{1} & + 0.001262 x_{15} & -0.028785 x_{14} & + 0.025055 x_{20} & -0.0058 x_{19} & + 0.390809 x_{6} & -0.770164 x_{7} & -0.001624 x_{24} & + 0.504629 x_{9} & -0.045613 x_{30} & -0.612584 x_{2} & -0.082347 x_{28}\\
 x_{31}   &  29.2217656045 & -28.673804 x_{1} & -1.597185 x_{15} & -0.823197 x_{14} & -0.021626 x_{20} & + 0.126746 x_{19} & -5.677605 x_{6} & + 10.401268 x_{7} & -1.967282 x_{24} & -6.99257 x_{9} & + 0.074498 x_{30} & -6.629253 x_{2} & + 0.75123 x_{28}\\
\hline
z    &  8.54591959101 & -11.285942 x_{1} & -0.397703 x_{15} & + 0.086025 x_{14} & -1.090234 x_{20} & -0.148412 x_{19} & -8.199724 x_{6} & -0.630843 x_{7} & -0.382505 x_{24} & -9.119376 x_{9} & -0.233956 x_{30} & + 0.379472 x_{2} & + 0.194952 x_{28}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{29} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.760922037547 & + 0.002464 x_{1} & -0.022399 x_{15} & + 0.042591 x_{14} & -0.096681 x_{20} & -0.066325 x_{19} & -0.456959 x_{6} & -0.133927 x_{7} & + 0.00981 x_{24} & -0.732344 x_{9} & -0.001942 x_{30} & -0.008696 x_{29} & -0.016624 x_{28}\\
 x_{3}   &  1.72578634129 & -0.373356 x_{1} & -0.058892 x_{15} & + 0.008737 x_{14} & -0.062742 x_{20} & -0.053407 x_{19} & -0.125386 x_{6} & + 0.277136 x_{7} & -0.060883 x_{24} & -0.681188 x_{9} & -0.053119 x_{30} & -0.038338 x_{29} & + 0.022384 x_{28}\\
 x_{13}   &  14.0535022907 & -6.507319 x_{1} & -1.159265 x_{15} & + 0.633486 x_{14} & -1.342551 x_{20} & -0.651273 x_{19} & -4.705977 x_{6} & + 10.313082 x_{7} & -0.841987 x_{24} & -12.768828 x_{9} & -0.102869 x_{30} & -0.388584 x_{29} & + 0.862825 x_{28}\\
 x_{16}   &  11.943492441 & -5.7075 x_{1} & -0.20007 x_{15} & -0.172783 x_{14} & -0.132256 x_{20} & -0.084258 x_{19} & + 3.667194 x_{6} & -10.922799 x_{7} & + 0.291228 x_{24} & -3.423843 x_{9} & -0.038832 x_{30} & -0.171351 x_{29} & -0.337797 x_{28}\\
 x_{17}   &  19.1290911213 & -7.615886 x_{1} & -0.572059 x_{15} & -1.156369 x_{14} & + 0.272181 x_{20} & + 0.350188 x_{19} & + 7.643665 x_{6} & -17.787661 x_{7} & -0.532886 x_{24} & + 14.595852 x_{9} & -0.430818 x_{30} & + 0.260929 x_{29} & -0.352714 x_{28}\\
 x_{18}   &  36.001118653 & -17.132033 x_{1} & -1.601588 x_{15} & -0.030813 x_{14} & -0.901367 x_{20} & -1.289397 x_{19} & -7.071805 x_{6} & + 1.780472 x_{7} & -1.259951 x_{24} & + 3.336705 x_{9} & -0.635811 x_{30} & + 0.668747 x_{29} & + 0.661701 x_{28}\\
 x_{21}   &  3.92486817539 & -5.790439 x_{1} & + 0.105464 x_{15} & + 0.57777 x_{14} & -1.391625 x_{20} & + 0.065758 x_{19} & -12.967163 x_{6} & + 1.049194 x_{7} & + 0.117154 x_{24} & -10.895601 x_{9} & + 0.069671 x_{30} & -0.397529 x_{29} & -0.02208 x_{28}\\
 x_{4}   &  1.82258252668 & -1.654411 x_{1} & -0.128652 x_{15} & -0.027696 x_{14} & -0.057313 x_{20} & + 0.01567 x_{19} & -0.400175 x_{6} & -0.178391 x_{7} & -0.108657 x_{24} & -0.192948 x_{9} & -0.030343 x_{30} & + 0.006929 x_{29} & + 0.023943 x_{28}\\
 x_{22}   &  6.22244885853 & + 12.227538 x_{1} & + 0.08779 x_{15} & + 0.820217 x_{14} & -0.06154 x_{20} & -0.682456 x_{19} & + 2.299511 x_{6} & -0.067261 x_{7} & -0.144003 x_{24} & + 2.460582 x_{9} & -0.269797 x_{30} & + 0.126379 x_{29} & + 0.306148 x_{28}\\
 x_{5}   &  0.333649640249 & -0.257447 x_{1} & -0.054882 x_{15} & -0.075798 x_{14} & + 0.045025 x_{20} & + 0.020522 x_{19} & + 0.506105 x_{6} & + 0.029519 x_{7} & -0.036496 x_{24} & + 0.136845 x_{9} & + 0.016243 x_{30} & -0.036301 x_{29} & + 0.016621 x_{28}\\
 x_{23}   &  14.9973406614 & -0.550574 x_{1} & -0.950427 x_{15} & -0.75087 x_{14} & -0.427093 x_{20} & + 0.417414 x_{19} & -3.648966 x_{6} & -9.27674 x_{7} & -0.317325 x_{24} & -10.356986 x_{9} & -0.102447 x_{30} & -0.479792 x_{29} & + 0.306505 x_{28}\\
 x_{25}   &  5.7989000967 & -8.900163 x_{1} & -0.23265 x_{15} & -0.044595 x_{14} & -0.472124 x_{20} & + 0.061106 x_{19} & -1.345374 x_{6} & + 6.6518 x_{7} & -0.508062 x_{24} & -1.260174 x_{9} & -0.01624 x_{30} & -0.520224 x_{29} & + 0.237567 x_{28}\\
 x_{11}   &  0.746504528703 & -1.086664 x_{1} & -0.029721 x_{15} & -0.03805 x_{14} & -0.021676 x_{20} & -0.059125 x_{19} & -0.19397 x_{6} & -0.308227 x_{7} & -0.049923 x_{24} & + 0.405853 x_{9} & -0.0141 x_{30} & + 0.077725 x_{29} & + 0.021195 x_{28}\\
 x_{26}   &  12.8523183084 & -0.899832 x_{1} & -0.108833 x_{15} & -0.593306 x_{14} & + 0.58074 x_{20} & + 0.1809 x_{19} & + 6.788519 x_{6} & -6.973963 x_{7} & -0.109254 x_{24} & -4.634009 x_{9} & -0.411615 x_{30} & -0.558237 x_{29} & -0.020439 x_{28}\\
 x_{27}   &  18.567354887 & -14.530699 x_{1} & -0.790797 x_{15} & -0.356348 x_{14} & -0.751867 x_{20} & + 0.216737 x_{19} & -0.76246 x_{6} & + 0.392347 x_{7} & -0.590682 x_{24} & -6.560611 x_{9} & -0.402413 x_{30} & -0.345792 x_{29} & + 0.422053 x_{28}\\
 x_{12}   &  0.804418120762 & -0.242033 x_{1} & -0.02448 x_{15} & + 0.032516 x_{14} & + 0.008464 x_{20} & -0.027907 x_{19} & + 0.047334 x_{6} & + 0.175159 x_{7} & -0.05863 x_{24} & + 0.147351 x_{9} & + 0.024867 x_{30} & + 0.014556 x_{29} & -0.027393 x_{28}\\
 x_{2}   &  0.171931090657 & + 0.125656 x_{1} & + 0.049387 x_{15} & -0.00606 x_{14} & -0.006303 x_{20} & + 0.043027 x_{19} & + 0.200415 x_{6} & -0.468643 x_{7} & + 0.004608 x_{24} & -0.140992 x_{9} & + 0.006773 x_{30} & -0.035346 x_{29} & -0.074853 x_{28}\\
 x_{10}   &  1.16918426143 & -0.151672 x_{1} & -0.028992 x_{15} & -0.025073 x_{14} & + 0.028916 x_{20} & -0.032158 x_{19} & + 0.268039 x_{6} & -0.483081 x_{7} & -0.004447 x_{24} & + 0.590998 x_{9} & -0.049762 x_{30} & + 0.021652 x_{29} & -0.036493 x_{28}\\
 x_{31}   &  28.0819908295 & -29.506807 x_{1} & -1.924584 x_{15} & -0.783025 x_{14} & + 0.020157 x_{20} & -0.158492 x_{19} & -7.006205 x_{6} & + 13.508021 x_{7} & -1.997831 x_{24} & -6.057901 x_{9} & + 0.029596 x_{30} & + 0.234318 x_{29} & + 1.24745 x_{28}\\
\hline
z    &  8.61116263583 & -11.238259 x_{1} & -0.378962 x_{15} & + 0.083725 x_{14} & -1.092626 x_{20} & -0.132084 x_{19} & -8.123672 x_{6} & -0.80868 x_{7} & -0.380756 x_{24} & -9.172879 x_{9} & -0.231386 x_{30} & -0.013413 x_{29} & + 0.166547 x_{28}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.948398776724 & -0.142195 x_{1} & -0.053237 x_{15} & -0.561897 x_{5} & -0.071381 x_{20} & -0.054793 x_{19} & -0.17258 x_{6} & -0.117341 x_{7} & -0.010697 x_{24} & -0.655451 x_{9} & + 0.007185 x_{30} & -0.029094 x_{29} & -0.007285 x_{28}\\
 x_{3}   &  1.76424364262 & -0.40303 x_{1} & -0.065218 x_{15} & -0.115263 x_{5} & -0.057552 x_{20} & -0.051041 x_{19} & -0.067051 x_{6} & + 0.280538 x_{7} & -0.065089 x_{24} & -0.665415 x_{9} & -0.051247 x_{30} & -0.042522 x_{29} & + 0.0243 x_{28}\\
 x_{13}   &  16.8419801584 & -8.658931 x_{1} & -1.617937 x_{15} & -8.357503 x_{5} & -0.966251 x_{20} & -0.479761 x_{19} & -0.476205 x_{6} & + 10.559782 x_{7} & -1.147004 x_{24} & -11.625145 x_{9} & + 0.03288 x_{30} & -0.691972 x_{29} & + 1.001734 x_{28}\\
 x_{16}   &  11.1829363732 & -5.120648 x_{1} & -0.074967 x_{15} & + 2.279505 x_{5} & -0.234892 x_{20} & -0.131037 x_{19} & + 2.513525 x_{6} & -10.990086 x_{7} & + 0.374421 x_{24} & -3.735782 x_{9} & -0.075858 x_{30} & -0.088602 x_{29} & -0.375684 x_{28}\\
 x_{17}   &  14.0389857169 & -3.688319 x_{1} & + 0.265204 x_{15} & + 15.25584 x_{5} & -0.41472 x_{20} & + 0.037109 x_{19} & -0.077388 x_{6} & -18.23799 x_{7} & + 0.023895 x_{24} & + 12.508166 x_{9} & -0.678616 x_{30} & + 0.814735 x_{29} & -0.60628 x_{28}\\
 x_{18}   &  35.865486504 & -17.027378 x_{1} & -1.579278 x_{15} & + 0.406511 x_{5} & -0.91967 x_{20} & -1.29774 x_{19} & -7.277542 x_{6} & + 1.768472 x_{7} & -1.245115 x_{24} & + 3.281076 x_{9} & -0.642414 x_{30} & + 0.683504 x_{29} & + 0.654944 x_{28}\\
 x_{21}   &  6.46809520428 & -7.752814 x_{1} & -0.312867 x_{15} & -7.622448 x_{5} & -1.048421 x_{20} & + 0.222186 x_{19} & -9.109406 x_{6} & + 1.274197 x_{7} & -0.161036 x_{24} & -9.852507 x_{9} & + 0.193481 x_{30} & -0.674234 x_{29} & + 0.104612 x_{28}\\
 x_{4}   &  1.70067183238 & -1.560344 x_{1} & -0.108599 x_{15} & + 0.365385 x_{5} & -0.073764 x_{20} & + 0.008172 x_{19} & -0.585098 x_{6} & -0.189176 x_{7} & -0.095321 x_{24} & -0.242949 x_{9} & -0.036278 x_{30} & + 0.020193 x_{29} & + 0.01787 x_{28}\\
 x_{22}   &  9.83288209727 & + 9.441699 x_{1} & -0.506085 x_{15} & -10.821031 x_{5} & + 0.425682 x_{20} & -0.460388 x_{19} & + 7.776087 x_{6} & + 0.252159 x_{7} & -0.53893 x_{24} & + 3.941386 x_{9} & -0.094033 x_{30} & -0.266438 x_{29} & + 0.486003 x_{28}\\
 x_{14}   &  4.40180099956 & -3.396465 x_{1} & -0.724045 x_{15} & -13.192884 x_{5} & + 0.594015 x_{20} & + 0.270743 x_{19} & + 6.676981 x_{6} & + 0.389434 x_{7} & -0.48149 x_{24} & + 1.805381 x_{9} & + 0.214289 x_{30} & -0.478919 x_{29} & + 0.219278 x_{28}\\
 x_{23}   &  11.6921596343 & + 1.999731 x_{1} & -0.406763 x_{15} & + 9.906143 x_{5} & -0.873122 x_{20} & + 0.214121 x_{19} & -8.662512 x_{6} & -9.569154 x_{7} & + 0.044212 x_{24} & -11.712592 x_{9} & -0.263351 x_{30} & -0.120187 x_{29} & + 0.141856 x_{28}\\
 x_{25}   &  5.60260274918 & -8.748698 x_{1} & -0.200361 x_{15} & + 0.588334 x_{5} & -0.498614 x_{20} & + 0.049032 x_{19} & -1.643133 x_{6} & + 6.634433 x_{7} & -0.48659 x_{24} & -1.340685 x_{9} & -0.025796 x_{30} & -0.498866 x_{29} & + 0.227788 x_{28}\\
 x_{11}   &  0.579016946102 & -0.957429 x_{1} & -0.002172 x_{15} & + 0.501986 x_{5} & -0.044278 x_{20} & -0.069427 x_{19} & -0.448028 x_{6} & -0.323045 x_{7} & -0.031602 x_{24} & + 0.337158 x_{9} & -0.022254 x_{30} & + 0.095948 x_{29} & + 0.012851 x_{28}\\
 x_{26}   &  10.2407020425 & + 1.115313 x_{1} & + 0.320748 x_{15} & + 7.827421 x_{5} & + 0.228307 x_{20} & + 0.020266 x_{19} & + 2.827024 x_{6} & -7.205017 x_{7} & + 0.176417 x_{24} & -5.705153 x_{9} & -0.538754 x_{30} & -0.274092 x_{29} & -0.150538 x_{28}\\
 x_{27}   &  16.9987824003 & -13.320376 x_{1} & -0.532785 x_{15} & + 4.701256 x_{5} & -0.963544 x_{20} & + 0.120258 x_{19} & -3.141789 x_{6} & + 0.253572 x_{7} & -0.419104 x_{24} & -7.203955 x_{9} & -0.478775 x_{30} & -0.175131 x_{29} & + 0.343914 x_{28}\\
 x_{12}   &  0.947547074304 & -0.352472 x_{1} & -0.048023 x_{15} & -0.42898 x_{5} & + 0.027779 x_{20} & -0.019103 x_{19} & + 0.264442 x_{6} & + 0.187822 x_{7} & -0.074286 x_{24} & + 0.206055 x_{9} & + 0.031835 x_{30} & -0.001017 x_{29} & -0.020263 x_{28}\\
 x_{2}   &  0.145257490165 & + 0.146237 x_{1} & + 0.053775 x_{15} & + 0.079945 x_{5} & -0.009902 x_{20} & + 0.041387 x_{19} & + 0.159954 x_{6} & -0.471003 x_{7} & + 0.007526 x_{24} & -0.151932 x_{9} & + 0.005475 x_{30} & -0.032444 x_{29} & -0.076182 x_{28}\\
 x_{10}   &  1.05881828733 & -0.066513 x_{1} & -0.010838 x_{15} & + 0.330784 x_{5} & + 0.014023 x_{20} & -0.038946 x_{19} & + 0.100627 x_{6} & -0.492845 x_{7} & + 0.007625 x_{24} & + 0.545731 x_{9} & -0.055135 x_{30} & + 0.03366 x_{29} & -0.041991 x_{28}\\
 x_{31}   &  24.6352687803 & -26.847289 x_{1} & -1.357638 x_{15} & + 10.330363 x_{5} & -0.444973 x_{20} & -0.370491 x_{19} & -12.234451 x_{6} & + 13.203084 x_{7} & -1.620812 x_{24} & -7.47156 x_{9} & -0.138198 x_{30} & + 0.609323 x_{29} & + 1.07575 x_{28}\\
\hline
z    &  8.97970453031 & -11.522629 x_{1} & -0.439583 x_{15} & -1.104578 x_{5} & -1.042892 x_{20} & -0.109416 x_{19} & -7.56464 x_{6} & -0.776074 x_{7} & -0.421069 x_{24} & -9.021723 x_{9} & -0.213445 x_{30} & -0.05351 x_{29} & + 0.184906 x_{28}\\
\end{array}\]


 $ x_{28} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.934508961581 & -0.156178 x_{1} & -0.058379 x_{15} & -0.569542 x_{5} & -0.070434 x_{20} & -0.058751 x_{19} & -0.187876 x_{6} & -0.072303 x_{7} & -0.011417 x_{24} & -0.640923 x_{9} & + 0.006662 x_{30} & -0.025991 x_{29} & + 0.095622 x_{2}\\
 x_{3}   &  1.8105760677 & -0.356385 x_{1} & -0.048066 x_{15} & -0.089763 x_{5} & -0.060711 x_{20} & -0.03784 x_{19} & -0.016031 x_{6} & + 0.130304 x_{7} & -0.062689 x_{24} & -0.713877 x_{9} & -0.0495 x_{30} & -0.052871 x_{29} & -0.318968 x_{2}\\
 x_{13}   &  18.7520085493 & -6.73602 x_{1} & -0.910842 x_{15} & -7.306286 x_{5} & -1.096459 x_{20} & + 0.064442 x_{19} & + 1.627073 x_{6} & + 4.366445 x_{7} & -1.048044 x_{24} & -13.622934 x_{9} & + 0.10487 x_{30} & -1.118586 x_{29} & -13.149259 x_{2}\\
 x_{16}   &  10.4666109412 & -5.841805 x_{1} & -0.340152 x_{15} & + 1.885263 x_{5} & -0.186059 x_{20} & -0.335132 x_{19} & + 1.724725 x_{6} & -8.667375 x_{7} & + 0.337308 x_{24} & -2.986543 x_{9} & -0.102856 x_{30} & + 0.071392 x_{29} & + 4.931418 x_{2}\\
 x_{17}   &  12.8829776471 & -4.852124 x_{1} & -0.162752 x_{15} & + 14.619611 x_{5} & -0.335914 x_{20} & -0.292259 x_{19} & -1.350357 x_{6} & -14.489591 x_{7} & -0.035999 x_{24} & + 13.717289 x_{9} & -0.722186 x_{30} & + 1.072935 x_{29} & + 7.958337 x_{2}\\
 x_{18}   &  37.1142825429 & -15.770159 x_{1} & -1.116972 x_{15} & + 1.093807 x_{5} & -1.004802 x_{20} & -0.941935 x_{19} & -5.902397 x_{6} & -2.280795 x_{7} & -1.180414 x_{24} & + 1.974902 x_{9} & -0.595347 x_{30} & + 0.40458 x_{29} & -8.59712 x_{2}\\
 x_{21}   &  6.66756071077 & -7.552003 x_{1} & -0.239025 x_{15} & -7.512669 x_{5} & -1.062019 x_{20} & + 0.279017 x_{19} & -8.88976 x_{6} & + 0.627423 x_{7} & -0.150702 x_{24} & -10.061137 x_{9} & + 0.200999 x_{30} & -0.718786 x_{29} & -1.373186 x_{2}\\
 x_{4}   &  1.73474562394 & -1.52604 x_{1} & -0.095985 x_{15} & + 0.384138 x_{5} & -0.076087 x_{20} & + 0.01788 x_{19} & -0.547577 x_{6} & -0.299662 x_{7} & -0.093556 x_{24} & -0.278589 x_{9} & -0.034994 x_{30} & + 0.012582 x_{29} & -0.234575 x_{2}\\
 x_{22}   &  10.759554712 & + 10.374621 x_{1} & -0.163029 x_{15} & -10.311021 x_{5} & + 0.36251 x_{20} & -0.196361 x_{19} & + 8.796517 x_{6} & -2.752611 x_{7} & -0.490918 x_{24} & + 2.972136 x_{9} & -0.059106 x_{30} & -0.473415 x_{29} & -6.379517 x_{2}\\
 x_{14}   &  4.81990266677 & -2.975544 x_{1} & -0.569264 x_{15} & -12.962775 x_{5} & + 0.565513 x_{20} & + 0.389868 x_{19} & + 7.137385 x_{6} & -0.966276 x_{7} & -0.459828 x_{24} & + 1.368069 x_{9} & + 0.230048 x_{30} & -0.572303 x_{29} & -2.878348 x_{2}\\
 x_{23}   &  11.9626387796 & + 2.272034 x_{1} & -0.306631 x_{15} & + 10.055006 x_{5} & -0.891561 x_{20} & + 0.291186 x_{19} & -8.364667 x_{6} & -10.446193 x_{7} & + 0.058226 x_{24} & -11.995499 x_{9} & -0.253156 x_{30} & -0.180599 x_{29} & -1.862067 x_{2}\\
 x_{25}   &  6.03693133782 & -8.31144 x_{1} & -0.039572 x_{15} & + 0.827374 x_{5} & -0.528222 x_{20} & + 0.172781 x_{19} & -1.16486 x_{6} & + 5.226107 x_{7} & -0.464087 x_{24} & -1.794969 x_{9} & -0.009426 x_{30} & -0.595876 x_{29} & -2.99006 x_{2}\\
 x_{11}   &  0.603521067745 & -0.93276 x_{1} & + 0.0069 x_{15} & + 0.515473 x_{5} & -0.045949 x_{20} & -0.062445 x_{19} & -0.421044 x_{6} & -0.4025 x_{7} & -0.030333 x_{24} & + 0.311528 x_{9} & -0.02133 x_{30} & + 0.090474 x_{29} & -0.168694 x_{2}\\
 x_{26}   &  9.9536677832 & + 0.826342 x_{1} & + 0.214487 x_{15} & + 7.669447 x_{5} & + 0.247874 x_{20} & -0.061515 x_{19} & + 2.510948 x_{6} & -6.274298 x_{7} & + 0.161545 x_{24} & -5.40493 x_{9} & -0.549573 x_{30} & -0.209981 x_{29} & + 1.976038 x_{2}\\
 x_{27}   &  17.6545301226 & -12.660205 x_{1} & -0.290026 x_{15} & + 5.062158 x_{5} & -1.008247 x_{20} & + 0.307093 x_{19} & -2.419695 x_{6} & -1.872714 x_{7} & -0.385129 x_{24} & -7.889832 x_{9} & -0.454059 x_{30} & -0.321595 x_{29} & -4.514381 x_{2}\\
 x_{12}   &  0.908911420525 & -0.391368 x_{1} & -0.062326 x_{15} & -0.450244 x_{5} & + 0.030413 x_{20} & -0.030111 x_{19} & + 0.221898 x_{6} & + 0.313099 x_{7} & -0.076288 x_{24} & + 0.246466 x_{9} & + 0.030379 x_{30} & + 0.007613 x_{29} & + 0.26598 x_{2}\\
 x_{28}   &  1.90672167964 & + 1.919582 x_{1} & + 0.705871 x_{15} & + 1.049397 x_{5} & -0.129983 x_{20} & + 0.543261 x_{19} & + 2.099637 x_{6} & -6.182615 x_{7} & + 0.098789 x_{24} & -1.99433 x_{9} & + 0.071865 x_{30} & -0.425875 x_{29} & -13.126495 x_{2}\\
 x_{10}   &  0.978753639232 & -0.147118 x_{1} & -0.040478 x_{15} & + 0.286719 x_{5} & + 0.019481 x_{20} & -0.061758 x_{19} & + 0.012462 x_{6} & -0.233233 x_{7} & + 0.003477 x_{24} & + 0.629475 x_{9} & -0.058153 x_{30} & + 0.051543 x_{29} & + 0.551191 x_{2}\\
 x_{31}   &  26.6864250578 & -24.782298 x_{1} & -0.598297 x_{15} & + 11.459252 x_{5} & -0.584802 x_{20} & + 0.213922 x_{19} & -9.975766 x_{6} & + 6.552135 x_{7} & -1.51454 x_{24} & -9.616961 x_{9} & -0.06089 x_{30} & + 0.151188 x_{29} & -14.12083 x_{2}\\
\hline
z    &  9.33226964666 & -11.167686 x_{1} & -0.309062 x_{15} & -0.910537 x_{5} & -1.066926 x_{20} & -0.008964 x_{19} & -7.176404 x_{6} & -1.91928 x_{7} & -0.402802 x_{24} & -9.390487 x_{9} & -0.200156 x_{30} & -0.132257 x_{29} & -2.427173 x_{2}\\
\end{array}\]


 Final Dictionary
\par \noindent\textbf{Solution:} :  9.33226964666
\#Pivots:  18
\end{document}
